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Finding the Fourth Proportional to 10,717.80, 16,052.40 and 6,781.20

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Solution

The fourth proportional to 10,717.80, 16,052.40 and 6,781.20 is: 10,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.80 : 16,052.40 = 6,781.20 : x
  2. Step 2: Convert to fraction form
    10,717.80/16,052.40 = 6,781.20/x
  3. Step 3: Cross multiply
    10,717.80x = 16,052.40 × 6,781.20
  4. Step 4: Simplify right side
    10,717.80x = 108,854,534.88
  5. Step 5: Solve for x
    x = 108,854,534.88/10,717.80
  6. Step 6: Final answer
    x = 10,156.43

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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.