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Finding the Fourth Proportional to 10,367.72, 15,532.14 and 8,047.88

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Solution

The fourth proportional to 10,367.72, 15,532.14 and 8,047.88 is: 12,056.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.72 : 15,532.14 = 8,047.88 : x
  2. Step 2: Convert to fraction form
    10,367.72/15,532.14 = 8,047.88/x
  3. Step 3: Cross multiply
    10,367.72x = 15,532.14 × 8,047.88
  4. Step 4: Simplify right side
    10,367.72x = 125,000,798.86
  5. Step 5: Solve for x
    x = 125,000,798.86/10,367.72
  6. Step 6: Final answer
    x = 12,056.73

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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.