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Finding the Fourth Proportional to 7,781.67, 11,672.55 and 4,491.90

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Solution

The fourth proportional to 7,781.67, 11,672.55 and 4,491.90 is: 6,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.67 : 11,672.55 = 4,491.90 : x
  2. Step 2: Convert to fraction form
    7,781.67/11,672.55 = 4,491.90/x
  3. Step 3: Cross multiply
    7,781.67x = 11,672.55 × 4,491.90
  4. Step 4: Simplify right side
    7,781.67x = 52,431,927.35
  5. Step 5: Solve for x
    x = 52,431,927.35/7,781.67
  6. Step 6: Final answer
    x = 6,737.88

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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.