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Finding the Fourth Proportional to 7,530.67, 10,387.17 and 5,168.71

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Solution

The fourth proportional to 7,530.67, 10,387.17 and 5,168.71 is: 7,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.67 : 10,387.17 = 5,168.71 : x
  2. Step 2: Convert to fraction form
    7,530.67/10,387.17 = 5,168.71/x
  3. Step 3: Cross multiply
    7,530.67x = 10,387.17 × 5,168.71
  4. Step 4: Simplify right side
    7,530.67x = 53,688,282.43
  5. Step 5: Solve for x
    x = 53,688,282.43/7,530.67
  6. Step 6: Final answer
    x = 7,129.28

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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.