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Finding the Fourth Proportional to 10,278.72, 15,452.24 and 8,443.44

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Solution

The fourth proportional to 10,278.72, 15,452.24 and 8,443.44 is: 12,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.72 : 15,452.24 = 8,443.44 : x
  2. Step 2: Convert to fraction form
    10,278.72/15,452.24 = 8,443.44/x
  3. Step 3: Cross multiply
    10,278.72x = 15,452.24 × 8,443.44
  4. Step 4: Simplify right side
    10,278.72x = 130,470,061.31
  5. Step 5: Solve for x
    x = 130,470,061.31/10,278.72
  6. Step 6: Final answer
    x = 12,693.22

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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.