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Finding the Fourth Proportional to 10,224.15, 15,327.11 and 3,648.88

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Solution

The fourth proportional to 10,224.15, 15,327.11 and 3,648.88 is: 5,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.15 : 15,327.11 = 3,648.88 : x
  2. Step 2: Convert to fraction form
    10,224.15/15,327.11 = 3,648.88/x
  3. Step 3: Cross multiply
    10,224.15x = 15,327.11 × 3,648.88
  4. Step 4: Simplify right side
    10,224.15x = 55,926,785.14
  5. Step 5: Solve for x
    x = 55,926,785.14/10,224.15
  6. Step 6: Final answer
    x = 5,470.07

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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.