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Finding the Fourth Proportional to 10,170.97, 15,257 and 3,155.83

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Solution

The fourth proportional to 10,170.97, 15,257 and 3,155.83 is: 4,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.97 : 15,257 = 3,155.83 : x
  2. Step 2: Convert to fraction form
    10,170.97/15,257 = 3,155.83/x
  3. Step 3: Cross multiply
    10,170.97x = 15,257 × 3,155.83
  4. Step 4: Simplify right side
    10,170.97x = 48,148,498.31
  5. Step 5: Solve for x
    x = 48,148,498.31/10,170.97
  6. Step 6: Final answer
    x = 4,733.91

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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.