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Finding the Fourth Proportional to 10,023.92, 15,034.86 and 3,450.57

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Solution

The fourth proportional to 10,023.92, 15,034.86 and 3,450.57 is: 5,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.92 : 15,034.86 = 3,450.57 : x
  2. Step 2: Convert to fraction form
    10,023.92/15,034.86 = 3,450.57/x
  3. Step 3: Cross multiply
    10,023.92x = 15,034.86 × 3,450.57
  4. Step 4: Simplify right side
    10,023.92x = 51,878,836.87
  5. Step 5: Solve for x
    x = 51,878,836.87/10,023.92
  6. Step 6: Final answer
    x = 5,175.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.