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Finding the Fourth Proportional to 10,211.77, 15,286.07 and 8,717.32

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Solution

The fourth proportional to 10,211.77, 15,286.07 and 8,717.32 is: 13,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.77 : 15,286.07 = 8,717.32 : x
  2. Step 2: Convert to fraction form
    10,211.77/15,286.07 = 8,717.32/x
  3. Step 3: Cross multiply
    10,211.77x = 15,286.07 × 8,717.32
  4. Step 4: Simplify right side
    10,211.77x = 133,253,555.60
  5. Step 5: Solve for x
    x = 133,253,555.60/10,211.77
  6. Step 6: Final answer
    x = 13,049.01

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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.