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Finding the Fourth Proportional to 10,257.66, 15,375.70 and 5,809.75

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Solution

The fourth proportional to 10,257.66, 15,375.70 and 5,809.75 is: 8,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.66 : 15,375.70 = 5,809.75 : x
  2. Step 2: Convert to fraction form
    10,257.66/15,375.70 = 5,809.75/x
  3. Step 3: Cross multiply
    10,257.66x = 15,375.70 × 5,809.75
  4. Step 4: Simplify right side
    10,257.66x = 89,328,973.08
  5. Step 5: Solve for x
    x = 89,328,973.08/10,257.66
  6. Step 6: Final answer
    x = 8,708.51

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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.