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Finding the Fourth Proportional to 7,205.85, 10,737.14 and 6,419.81

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Solution

The fourth proportional to 7,205.85, 10,737.14 and 6,419.81 is: 9,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.85 : 10,737.14 = 6,419.81 : x
  2. Step 2: Convert to fraction form
    7,205.85/10,737.14 = 6,419.81/x
  3. Step 3: Cross multiply
    7,205.85x = 10,737.14 × 6,419.81
  4. Step 4: Simplify right side
    7,205.85x = 68,930,398.74
  5. Step 5: Solve for x
    x = 68,930,398.74/7,205.85
  6. Step 6: Final answer
    x = 9,565.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.