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Finding the Fourth Proportional to 11,580.43, 15,981 and 6,275.20

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Solution

The fourth proportional to 11,580.43, 15,981 and 6,275.20 is: 8,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.43 : 15,981 = 6,275.20 : x
  2. Step 2: Convert to fraction form
    11,580.43/15,981 = 6,275.20/x
  3. Step 3: Cross multiply
    11,580.43x = 15,981 × 6,275.20
  4. Step 4: Simplify right side
    11,580.43x = 100,283,891.30
  5. Step 5: Solve for x
    x = 100,283,891.30/11,580.43
  6. Step 6: Final answer
    x = 8,659.78

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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.