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Finding the Fourth Proportional to 7,846.70, 11,771.86 and 2,300.47

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Solution

The fourth proportional to 7,846.70, 11,771.86 and 2,300.47 is: 3,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.70 : 11,771.86 = 2,300.47 : x
  2. Step 2: Convert to fraction form
    7,846.70/11,771.86 = 2,300.47/x
  3. Step 3: Cross multiply
    7,846.70x = 11,771.86 × 2,300.47
  4. Step 4: Simplify right side
    7,846.70x = 27,080,805.02
  5. Step 5: Solve for x
    x = 27,080,805.02/7,846.70
  6. Step 6: Final answer
    x = 3,451.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.