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Finding the Fourth Proportional to 7,341.71, 10,158.24 and 6,399.47

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Solution

The fourth proportional to 7,341.71, 10,158.24 and 6,399.47 is: 8,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.71 : 10,158.24 = 6,399.47 : x
  2. Step 2: Convert to fraction form
    7,341.71/10,158.24 = 6,399.47/x
  3. Step 3: Cross multiply
    7,341.71x = 10,158.24 × 6,399.47
  4. Step 4: Simplify right side
    7,341.71x = 65,007,401.53
  5. Step 5: Solve for x
    x = 65,007,401.53/7,341.71
  6. Step 6: Final answer
    x = 8,854.54

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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.