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Finding the Fourth Proportional to 10,329.41, 15,494.13 and 2,538.23

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Solution

The fourth proportional to 10,329.41, 15,494.13 and 2,538.23 is: 3,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.41 : 15,494.13 = 2,538.23 : x
  2. Step 2: Convert to fraction form
    10,329.41/15,494.13 = 2,538.23/x
  3. Step 3: Cross multiply
    10,329.41x = 15,494.13 × 2,538.23
  4. Step 4: Simplify right side
    10,329.41x = 39,327,665.59
  5. Step 5: Solve for x
    x = 39,327,665.59/10,329.41
  6. Step 6: Final answer
    x = 3,807.35

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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.