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Finding the Fourth Proportional to 10,529.46, 15,747.69 and 9,367.62

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Solution

The fourth proportional to 10,529.46, 15,747.69 and 9,367.62 is: 14,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.46 : 15,747.69 = 9,367.62 : x
  2. Step 2: Convert to fraction form
    10,529.46/15,747.69 = 9,367.62/x
  3. Step 3: Cross multiply
    10,529.46x = 15,747.69 × 9,367.62
  4. Step 4: Simplify right side
    10,529.46x = 147,518,375.80
  5. Step 5: Solve for x
    x = 147,518,375.80/10,529.46
  6. Step 6: Final answer
    x = 14,010.06

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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.