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Finding the Fourth Proportional to 7,848,428.60, 11,772,642.90 and 7,407,529.40

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Solution

The fourth proportional to 7,848,428.60, 11,772,642.90 and 7,407,529.40 is: 11,111,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848,428.60 : 11,772,642.90 = 7,407,529.40 : x
  2. Step 2: Convert to fraction form
    7,848,428.60/11,772,642.90 = 7,407,529.40/x
  3. Step 3: Cross multiply
    7,848,428.60x = 11,772,642.90 × 7,407,529.40
  4. Step 4: Simplify right side
    7,848,428.60x = 87,206,198,397,451.27
  5. Step 5: Solve for x
    x = 87,206,198,397,451.27/7,848,428.60
  6. Step 6: Final answer
    x = 11,111,294.10

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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.