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Finding the Fourth Proportional to 10,329.68, 15,494.52 and 2,538.49

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Solution

The fourth proportional to 10,329.68, 15,494.52 and 2,538.49 is: 3,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.68 : 15,494.52 = 2,538.49 : x
  2. Step 2: Convert to fraction form
    10,329.68/15,494.52 = 2,538.49/x
  3. Step 3: Cross multiply
    10,329.68x = 15,494.52 × 2,538.49
  4. Step 4: Simplify right side
    10,329.68x = 39,332,684.07
  5. Step 5: Solve for x
    x = 39,332,684.07/10,329.68
  6. Step 6: Final answer
    x = 3,807.74

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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.