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Finding the Fourth Proportional to 11,478.68, 15,839.37 and 6,443.46

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Solution

The fourth proportional to 11,478.68, 15,839.37 and 6,443.46 is: 8,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.68 : 15,839.37 = 6,443.46 : x
  2. Step 2: Convert to fraction form
    11,478.68/15,839.37 = 6,443.46/x
  3. Step 3: Cross multiply
    11,478.68x = 15,839.37 × 6,443.46
  4. Step 4: Simplify right side
    11,478.68x = 102,060,275.20
  5. Step 5: Solve for x
    x = 102,060,275.20/11,478.68
  6. Step 6: Final answer
    x = 8,891.29

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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.