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Finding the Fourth Proportional to 10,329.88, 15,494.68 and 2,538.62

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Solution

The fourth proportional to 10,329.88, 15,494.68 and 2,538.62 is: 3,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.88 : 15,494.68 = 2,538.62 : x
  2. Step 2: Convert to fraction form
    10,329.88/15,494.68 = 2,538.62/x
  3. Step 3: Cross multiply
    10,329.88x = 15,494.68 × 2,538.62
  4. Step 4: Simplify right side
    10,329.88x = 39,335,104.54
  5. Step 5: Solve for x
    x = 39,335,104.54/10,329.88
  6. Step 6: Final answer
    x = 3,807.90

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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.