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Finding the Fourth Proportional to 7,834.92, 10,809.24 and 5,002.40

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Solution

The fourth proportional to 7,834.92, 10,809.24 and 5,002.40 is: 6,901.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.92 : 10,809.24 = 5,002.40 : x
  2. Step 2: Convert to fraction form
    7,834.92/10,809.24 = 5,002.40/x
  3. Step 3: Cross multiply
    7,834.92x = 10,809.24 × 5,002.40
  4. Step 4: Simplify right side
    7,834.92x = 54,072,142.18
  5. Step 5: Solve for x
    x = 54,072,142.18/7,834.92
  6. Step 6: Final answer
    x = 6,901.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.