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Finding the Fourth Proportional to 10,224.72, 15,337.02 and 2,829.11

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Solution

The fourth proportional to 10,224.72, 15,337.02 and 2,829.11 is: 4,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.72 : 15,337.02 = 2,829.11 : x
  2. Step 2: Convert to fraction form
    10,224.72/15,337.02 = 2,829.11/x
  3. Step 3: Cross multiply
    10,224.72x = 15,337.02 × 2,829.11
  4. Step 4: Simplify right side
    10,224.72x = 43,390,039.97
  5. Step 5: Solve for x
    x = 43,390,039.97/10,224.72
  6. Step 6: Final answer
    x = 4,243.64

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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.