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Finding the Fourth Proportional to 15,758.88, 23,640.84 and 5,370

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Solution

The fourth proportional to 15,758.88, 23,640.84 and 5,370 is: 8,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.88 : 23,640.84 = 5,370 : x
  2. Step 2: Convert to fraction form
    15,758.88/23,640.84 = 5,370/x
  3. Step 3: Cross multiply
    15,758.88x = 23,640.84 × 5,370
  4. Step 4: Simplify right side
    15,758.88x = 126,951,310.80
  5. Step 5: Solve for x
    x = 126,951,310.80/15,758.88
  6. Step 6: Final answer
    x = 8,055.86

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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.