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Finding the Fourth Proportional to 7,432.44, 11,149.06 and 2,502.24

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Solution

The fourth proportional to 7,432.44, 11,149.06 and 2,502.24 is: 3,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.44 : 11,149.06 = 2,502.24 : x
  2. Step 2: Convert to fraction form
    7,432.44/11,149.06 = 2,502.24/x
  3. Step 3: Cross multiply
    7,432.44x = 11,149.06 × 2,502.24
  4. Step 4: Simplify right side
    7,432.44x = 27,897,623.89
  5. Step 5: Solve for x
    x = 27,897,623.89/7,432.44
  6. Step 6: Final answer
    x = 3,753.49

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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.