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Finding the Fourth Proportional to 10,882.15, 16,329.37 and 4,641.57

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Solution

The fourth proportional to 10,882.15, 16,329.37 and 4,641.57 is: 6,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.15 : 16,329.37 = 4,641.57 : x
  2. Step 2: Convert to fraction form
    10,882.15/16,329.37 = 4,641.57/x
  3. Step 3: Cross multiply
    10,882.15x = 16,329.37 × 4,641.57
  4. Step 4: Simplify right side
    10,882.15x = 75,793,855.17
  5. Step 5: Solve for x
    x = 75,793,855.17/10,882.15
  6. Step 6: Final answer
    x = 6,964.97

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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.