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Finding the Fourth Proportional to 10,589.49, 15,882.03 and 4,343.40

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Solution

The fourth proportional to 10,589.49, 15,882.03 and 4,343.40 is: 6,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.49 : 15,882.03 = 4,343.40 : x
  2. Step 2: Convert to fraction form
    10,589.49/15,882.03 = 4,343.40/x
  3. Step 3: Cross multiply
    10,589.49x = 15,882.03 × 4,343.40
  4. Step 4: Simplify right side
    10,589.49x = 68,982,009.10
  5. Step 5: Solve for x
    x = 68,982,009.10/10,589.49
  6. Step 6: Final answer
    x = 6,514.20

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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.