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Finding the Fourth Proportional to 10,149.44, 15,225.12 and 3,992

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Solution

The fourth proportional to 10,149.44, 15,225.12 and 3,992 is: 5,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.44 : 15,225.12 = 3,992 : x
  2. Step 2: Convert to fraction form
    10,149.44/15,225.12 = 3,992/x
  3. Step 3: Cross multiply
    10,149.44x = 15,225.12 × 3,992
  4. Step 4: Simplify right side
    10,149.44x = 60,778,679.04
  5. Step 5: Solve for x
    x = 60,778,679.04/10,149.44
  6. Step 6: Final answer
    x = 5,988.38

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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.