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Finding the Fourth Proportional to 10,188.81, 14,061.15 and 5,713.11

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Solution

The fourth proportional to 10,188.81, 14,061.15 and 5,713.11 is: 7,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.81 : 14,061.15 = 5,713.11 : x
  2. Step 2: Convert to fraction form
    10,188.81/14,061.15 = 5,713.11/x
  3. Step 3: Cross multiply
    10,188.81x = 14,061.15 × 5,713.11
  4. Step 4: Simplify right side
    10,188.81x = 80,332,896.68
  5. Step 5: Solve for x
    x = 80,332,896.68/10,188.81
  6. Step 6: Final answer
    x = 7,884.42

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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.