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Finding the Fourth Proportional to 7,432.61, 11,149.03 and 2,167.64

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Solution

The fourth proportional to 7,432.61, 11,149.03 and 2,167.64 is: 3,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.61 : 11,149.03 = 2,167.64 : x
  2. Step 2: Convert to fraction form
    7,432.61/11,149.03 = 2,167.64/x
  3. Step 3: Cross multiply
    7,432.61x = 11,149.03 × 2,167.64
  4. Step 4: Simplify right side
    7,432.61x = 24,167,037.76
  5. Step 5: Solve for x
    x = 24,167,037.76/7,432.61
  6. Step 6: Final answer
    x = 3,251.49

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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.