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Finding the Fourth Proportional to 10,358.14, 15,524.88 and 5,966.50

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Solution

The fourth proportional to 10,358.14, 15,524.88 and 5,966.50 is: 8,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.14 : 15,524.88 = 5,966.50 : x
  2. Step 2: Convert to fraction form
    10,358.14/15,524.88 = 5,966.50/x
  3. Step 3: Cross multiply
    10,358.14x = 15,524.88 × 5,966.50
  4. Step 4: Simplify right side
    10,358.14x = 92,629,196.52
  5. Step 5: Solve for x
    x = 92,629,196.52/10,358.14
  6. Step 6: Final answer
    x = 8,942.65

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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.