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Finding the Fourth Proportional to 10,234.14, 15,358.50 and 4,392.42

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Solution

The fourth proportional to 10,234.14, 15,358.50 and 4,392.42 is: 6,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.14 : 15,358.50 = 4,392.42 : x
  2. Step 2: Convert to fraction form
    10,234.14/15,358.50 = 4,392.42/x
  3. Step 3: Cross multiply
    10,234.14x = 15,358.50 × 4,392.42
  4. Step 4: Simplify right side
    10,234.14x = 67,460,982.57
  5. Step 5: Solve for x
    x = 67,460,982.57/10,234.14
  6. Step 6: Final answer
    x = 6,591.76

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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.