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Finding the Fourth Proportional to 7,744.71, 11,584.27 and 5,251.53

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Solution

The fourth proportional to 7,744.71, 11,584.27 and 5,251.53 is: 7,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.71 : 11,584.27 = 5,251.53 : x
  2. Step 2: Convert to fraction form
    7,744.71/11,584.27 = 5,251.53/x
  3. Step 3: Cross multiply
    7,744.71x = 11,584.27 × 5,251.53
  4. Step 4: Simplify right side
    7,744.71x = 60,835,161.90
  5. Step 5: Solve for x
    x = 60,835,161.90/7,744.71
  6. Step 6: Final answer
    x = 7,855.06

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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.