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Finding the Fourth Proportional to 10,725.39, 16,069.71 and 7,600.17

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Solution

The fourth proportional to 10,725.39, 16,069.71 and 7,600.17 is: 11,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.39 : 16,069.71 = 7,600.17 : x
  2. Step 2: Convert to fraction form
    10,725.39/16,069.71 = 7,600.17/x
  3. Step 3: Cross multiply
    10,725.39x = 16,069.71 × 7,600.17
  4. Step 4: Simplify right side
    10,725.39x = 122,132,527.85
  5. Step 5: Solve for x
    x = 122,132,527.85/10,725.39
  6. Step 6: Final answer
    x = 11,387.23

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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.