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Finding the Fourth Proportional to 10,202.46, 15,279.06 and 5,806.59

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Solution

The fourth proportional to 10,202.46, 15,279.06 and 5,806.59 is: 8,695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.46 : 15,279.06 = 5,806.59 : x
  2. Step 2: Convert to fraction form
    10,202.46/15,279.06 = 5,806.59/x
  3. Step 3: Cross multiply
    10,202.46x = 15,279.06 × 5,806.59
  4. Step 4: Simplify right side
    10,202.46x = 88,719,237.01
  5. Step 5: Solve for x
    x = 88,719,237.01/10,202.46
  6. Step 6: Final answer
    x = 8,695.87

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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.