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Finding the Fourth Proportional to 10,329.93, 15,494.78 and 2,538.74

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Solution

The fourth proportional to 10,329.93, 15,494.78 and 2,538.74 is: 3,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.93 : 15,494.78 = 2,538.74 : x
  2. Step 2: Convert to fraction form
    10,329.93/15,494.78 = 2,538.74/x
  3. Step 3: Cross multiply
    10,329.93x = 15,494.78 × 2,538.74
  4. Step 4: Simplify right side
    10,329.93x = 39,337,259.29
  5. Step 5: Solve for x
    x = 39,337,259.29/10,329.93
  6. Step 6: Final answer
    x = 3,808.09

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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.