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Finding the Fourth Proportional to 7,737.70, 11,605.97 and 2,472.50

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Solution

The fourth proportional to 7,737.70, 11,605.97 and 2,472.50 is: 3,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.70 : 11,605.97 = 2,472.50 : x
  2. Step 2: Convert to fraction form
    7,737.70/11,605.97 = 2,472.50/x
  3. Step 3: Cross multiply
    7,737.70x = 11,605.97 × 2,472.50
  4. Step 4: Simplify right side
    7,737.70x = 28,695,760.83
  5. Step 5: Solve for x
    x = 28,695,760.83/7,737.70
  6. Step 6: Final answer
    x = 3,708.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.