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Finding the Fourth Proportional to 10,542.12, 15,813.18 and 3,616.68

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Solution

The fourth proportional to 10,542.12, 15,813.18 and 3,616.68 is: 5,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.12 : 15,813.18 = 3,616.68 : x
  2. Step 2: Convert to fraction form
    10,542.12/15,813.18 = 3,616.68/x
  3. Step 3: Cross multiply
    10,542.12x = 15,813.18 × 3,616.68
  4. Step 4: Simplify right side
    10,542.12x = 57,191,211.84
  5. Step 5: Solve for x
    x = 57,191,211.84/10,542.12
  6. Step 6: Final answer
    x = 5,425.02

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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.