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Finding the Fourth Proportional to 10,097.42, 15,149.52 and 5,165.73

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Solution

The fourth proportional to 10,097.42, 15,149.52 and 5,165.73 is: 7,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.42 : 15,149.52 = 5,165.73 : x
  2. Step 2: Convert to fraction form
    10,097.42/15,149.52 = 5,165.73/x
  3. Step 3: Cross multiply
    10,097.42x = 15,149.52 × 5,165.73
  4. Step 4: Simplify right side
    10,097.42x = 78,258,329.95
  5. Step 5: Solve for x
    x = 78,258,329.95/10,097.42
  6. Step 6: Final answer
    x = 7,750.33

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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.