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Finding the Fourth Proportional to 7,766.50, 11,651.57 and 2,572.38

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Solution

The fourth proportional to 7,766.50, 11,651.57 and 2,572.38 is: 3,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.50 : 11,651.57 = 2,572.38 : x
  2. Step 2: Convert to fraction form
    7,766.50/11,651.57 = 2,572.38/x
  3. Step 3: Cross multiply
    7,766.50x = 11,651.57 × 2,572.38
  4. Step 4: Simplify right side
    7,766.50x = 29,972,265.64
  5. Step 5: Solve for x
    x = 29,972,265.64/7,766.50
  6. Step 6: Final answer
    x = 3,859.17

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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.