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Finding the Fourth Proportional to 7,848,287.10, 10,962,407.70 and 7,848,287.10

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Solution

The fourth proportional to 7,848,287.10, 10,962,407.70 and 7,848,287.10 is: 10,962,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848,287.10 : 10,962,407.70 = 7,848,287.10 : x
  2. Step 2: Convert to fraction form
    7,848,287.10/10,962,407.70 = 7,848,287.10/x
  3. Step 3: Cross multiply
    7,848,287.10x = 10,962,407.70 × 7,848,287.10
  4. Step 4: Simplify right side
    7,848,287.10x = 86,036,122,936,850.66
  5. Step 5: Solve for x
    x = 86,036,122,936,850.66/7,848,287.10
  6. Step 6: Final answer
    x = 10,962,407.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.