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Finding the Fourth Proportional to 10,138.25, 15,182.76 and 7,499.27

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Solution

The fourth proportional to 10,138.25, 15,182.76 and 7,499.27 is: 11,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.25 : 15,182.76 = 7,499.27 : x
  2. Step 2: Convert to fraction form
    10,138.25/15,182.76 = 7,499.27/x
  3. Step 3: Cross multiply
    10,138.25x = 15,182.76 × 7,499.27
  4. Step 4: Simplify right side
    10,138.25x = 113,859,540.67
  5. Step 5: Solve for x
    x = 113,859,540.67/10,138.25
  6. Step 6: Final answer
    x = 11,230.70

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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.