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Finding the Fourth Proportional to 6,737.14, 10,104.14 and 2,575.62

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Solution

The fourth proportional to 6,737.14, 10,104.14 and 2,575.62 is: 3,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.14 : 10,104.14 = 2,575.62 : x
  2. Step 2: Convert to fraction form
    6,737.14/10,104.14 = 2,575.62/x
  3. Step 3: Cross multiply
    6,737.14x = 10,104.14 × 2,575.62
  4. Step 4: Simplify right side
    6,737.14x = 26,024,425.07
  5. Step 5: Solve for x
    x = 26,024,425.07/6,737.14
  6. Step 6: Final answer
    x = 3,862.83

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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.