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Finding the Fourth Proportional to 10,944, 15,102.72 and 5,976

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Solution

The fourth proportional to 10,944, 15,102.72 and 5,976 is: 8,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944 : 15,102.72 = 5,976 : x
  2. Step 2: Convert to fraction form
    10,944/15,102.72 = 5,976/x
  3. Step 3: Cross multiply
    10,944x = 15,102.72 × 5,976
  4. Step 4: Simplify right side
    10,944x = 90,253,854.72
  5. Step 5: Solve for x
    x = 90,253,854.72/10,944
  6. Step 6: Final answer
    x = 8,246.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.