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Finding the Fourth Proportional to 10,224.62, 15,337.07 and 6,736.95

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Solution

The fourth proportional to 10,224.62, 15,337.07 and 6,736.95 is: 10,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.62 : 15,337.07 = 6,736.95 : x
  2. Step 2: Convert to fraction form
    10,224.62/15,337.07 = 6,736.95/x
  3. Step 3: Cross multiply
    10,224.62x = 15,337.07 × 6,736.95
  4. Step 4: Simplify right side
    10,224.62x = 103,325,040.05
  5. Step 5: Solve for x
    x = 103,325,040.05/10,224.62
  6. Step 6: Final answer
    x = 10,105.52

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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.