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Finding the Fourth Proportional to 10,882.26, 16,326.20 and 4,639.14

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Solution

The fourth proportional to 10,882.26, 16,326.20 and 4,639.14 is: 6,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.26 : 16,326.20 = 4,639.14 : x
  2. Step 2: Convert to fraction form
    10,882.26/16,326.20 = 4,639.14/x
  3. Step 3: Cross multiply
    10,882.26x = 16,326.20 × 4,639.14
  4. Step 4: Simplify right side
    10,882.26x = 75,739,527.47
  5. Step 5: Solve for x
    x = 75,739,527.47/10,882.26
  6. Step 6: Final answer
    x = 6,959.91

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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.