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Finding the Fourth Proportional to 10,882.65, 16,329.90 and 8,422.28

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Solution

The fourth proportional to 10,882.65, 16,329.90 and 8,422.28 is: 12,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.65 : 16,329.90 = 8,422.28 : x
  2. Step 2: Convert to fraction form
    10,882.65/16,329.90 = 8,422.28/x
  3. Step 3: Cross multiply
    10,882.65x = 16,329.90 × 8,422.28
  4. Step 4: Simplify right side
    10,882.65x = 137,535,001.34
  5. Step 5: Solve for x
    x = 137,535,001.34/10,882.65
  6. Step 6: Final answer
    x = 12,638.00

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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.