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Finding the Fourth Proportional to 10,560.57, 15,834.17 and 8,994.43

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Solution

The fourth proportional to 10,560.57, 15,834.17 and 8,994.43 is: 13,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.57 : 15,834.17 = 8,994.43 : x
  2. Step 2: Convert to fraction form
    10,560.57/15,834.17 = 8,994.43/x
  3. Step 3: Cross multiply
    10,560.57x = 15,834.17 × 8,994.43
  4. Step 4: Simplify right side
    10,560.57x = 142,419,288.70
  5. Step 5: Solve for x
    x = 142,419,288.70/10,560.57
  6. Step 6: Final answer
    x = 13,485.95

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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.