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Finding the Fourth Proportional to 10,337.13, 14,249.86 and 6,355.17

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Solution

The fourth proportional to 10,337.13, 14,249.86 and 6,355.17 is: 8,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.13 : 14,249.86 = 6,355.17 : x
  2. Step 2: Convert to fraction form
    10,337.13/14,249.86 = 6,355.17/x
  3. Step 3: Cross multiply
    10,337.13x = 14,249.86 × 6,355.17
  4. Step 4: Simplify right side
    10,337.13x = 90,560,266.89
  5. Step 5: Solve for x
    x = 90,560,266.89/10,337.13
  6. Step 6: Final answer
    x = 8,760.68

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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.