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Finding the Fourth Proportional to 10,033.92, 15,049.76 and 3,108.16

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Solution

The fourth proportional to 10,033.92, 15,049.76 and 3,108.16 is: 4,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.92 : 15,049.76 = 3,108.16 : x
  2. Step 2: Convert to fraction form
    10,033.92/15,049.76 = 3,108.16/x
  3. Step 3: Cross multiply
    10,033.92x = 15,049.76 × 3,108.16
  4. Step 4: Simplify right side
    10,033.92x = 46,777,062.04
  5. Step 5: Solve for x
    x = 46,777,062.04/10,033.92
  6. Step 6: Final answer
    x = 4,661.89

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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.