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Finding the Fourth Proportional to 10,713.88, 16,076.16 and 5,171.92

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Solution

The fourth proportional to 10,713.88, 16,076.16 and 5,171.92 is: 7,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.88 : 16,076.16 = 5,171.92 : x
  2. Step 2: Convert to fraction form
    10,713.88/16,076.16 = 5,171.92/x
  3. Step 3: Cross multiply
    10,713.88x = 16,076.16 × 5,171.92
  4. Step 4: Simplify right side
    10,713.88x = 83,144,613.43
  5. Step 5: Solve for x
    x = 83,144,613.43/10,713.88
  6. Step 6: Final answer
    x = 7,760.46

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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.