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Finding the Fourth Proportional to 7,737.59, 11,606.89 and 2,191.38

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Solution

The fourth proportional to 7,737.59, 11,606.89 and 2,191.38 is: 3,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.59 : 11,606.89 = 2,191.38 : x
  2. Step 2: Convert to fraction form
    7,737.59/11,606.89 = 2,191.38/x
  3. Step 3: Cross multiply
    7,737.59x = 11,606.89 × 2,191.38
  4. Step 4: Simplify right side
    7,737.59x = 25,435,037.62
  5. Step 5: Solve for x
    x = 25,435,037.62/7,737.59
  6. Step 6: Final answer
    x = 3,287.20

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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.