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Finding the Fourth Proportional to 10,332.81, 15,472.89 and 6,812.13

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Solution

The fourth proportional to 10,332.81, 15,472.89 and 6,812.13 is: 10,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.81 : 15,472.89 = 6,812.13 : x
  2. Step 2: Convert to fraction form
    10,332.81/15,472.89 = 6,812.13/x
  3. Step 3: Cross multiply
    10,332.81x = 15,472.89 × 6,812.13
  4. Step 4: Simplify right side
    10,332.81x = 105,403,338.16
  5. Step 5: Solve for x
    x = 105,403,338.16/10,332.81
  6. Step 6: Final answer
    x = 10,200.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.