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Finding the Fourth Proportional to 7,359.48, 10,147.14 and 6,411.78

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Solution

The fourth proportional to 7,359.48, 10,147.14 and 6,411.78 is: 8,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,359.48 : 10,147.14 = 6,411.78 : x
  2. Step 2: Convert to fraction form
    7,359.48/10,147.14 = 6,411.78/x
  3. Step 3: Cross multiply
    7,359.48x = 10,147.14 × 6,411.78
  4. Step 4: Simplify right side
    7,359.48x = 65,061,229.31
  5. Step 5: Solve for x
    x = 65,061,229.31/7,359.48
  6. Step 6: Final answer
    x = 8,840.47

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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.