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Finding the Fourth Proportional to 7,146.33, 10,717.22 and 6,679.88

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Solution

The fourth proportional to 7,146.33, 10,717.22 and 6,679.88 is: 10,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.33 : 10,717.22 = 6,679.88 : x
  2. Step 2: Convert to fraction form
    7,146.33/10,717.22 = 6,679.88/x
  3. Step 3: Cross multiply
    7,146.33x = 10,717.22 × 6,679.88
  4. Step 4: Simplify right side
    7,146.33x = 71,589,769.55
  5. Step 5: Solve for x
    x = 71,589,769.55/7,146.33
  6. Step 6: Final answer
    x = 10,017.70

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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.