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Finding the Fourth Proportional to 10,274.72, 15,414.70 and 2,879.20

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Solution

The fourth proportional to 10,274.72, 15,414.70 and 2,879.20 is: 4,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.72 : 15,414.70 = 2,879.20 : x
  2. Step 2: Convert to fraction form
    10,274.72/15,414.70 = 2,879.20/x
  3. Step 3: Cross multiply
    10,274.72x = 15,414.70 × 2,879.20
  4. Step 4: Simplify right side
    10,274.72x = 44,382,004.24
  5. Step 5: Solve for x
    x = 44,382,004.24/10,274.72
  6. Step 6: Final answer
    x = 4,319.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.