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Finding the Fourth Proportional to 10,115.34, 15,179.49 and 4,918.38

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Solution

The fourth proportional to 10,115.34, 15,179.49 and 4,918.38 is: 7,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.34 : 15,179.49 = 4,918.38 : x
  2. Step 2: Convert to fraction form
    10,115.34/15,179.49 = 4,918.38/x
  3. Step 3: Cross multiply
    10,115.34x = 15,179.49 × 4,918.38
  4. Step 4: Simplify right side
    10,115.34x = 74,658,500.03
  5. Step 5: Solve for x
    x = 74,658,500.03/10,115.34
  6. Step 6: Final answer
    x = 7,380.72

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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.