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Finding the Fourth Proportional to 7,737.96, 11,605.92 and 2,191.79

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Solution

The fourth proportional to 7,737.96, 11,605.92 and 2,191.79 is: 3,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.96 : 11,605.92 = 2,191.79 : x
  2. Step 2: Convert to fraction form
    7,737.96/11,605.92 = 2,191.79/x
  3. Step 3: Cross multiply
    7,737.96x = 11,605.92 × 2,191.79
  4. Step 4: Simplify right side
    7,737.96x = 25,437,760.19
  5. Step 5: Solve for x
    x = 25,437,760.19/7,737.96
  6. Step 6: Final answer
    x = 3,287.40

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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.