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Finding the Fourth Proportional to 10,363.42, 15,532.17 and 5,170.78

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Solution

The fourth proportional to 10,363.42, 15,532.17 and 5,170.78 is: 7,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.42 : 15,532.17 = 5,170.78 : x
  2. Step 2: Convert to fraction form
    10,363.42/15,532.17 = 5,170.78/x
  3. Step 3: Cross multiply
    10,363.42x = 15,532.17 × 5,170.78
  4. Step 4: Simplify right side
    10,363.42x = 80,313,433.99
  5. Step 5: Solve for x
    x = 80,313,433.99/10,363.42
  6. Step 6: Final answer
    x = 7,749.70

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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.