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Finding the Fourth Proportional to 6,912.96, 10,352.88 and 6,082.80

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Solution

The fourth proportional to 6,912.96, 10,352.88 and 6,082.80 is: 9,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.96 : 10,352.88 = 6,082.80 : x
  2. Step 2: Convert to fraction form
    6,912.96/10,352.88 = 6,082.80/x
  3. Step 3: Cross multiply
    6,912.96x = 10,352.88 × 6,082.80
  4. Step 4: Simplify right side
    6,912.96x = 62,974,498.46
  5. Step 5: Solve for x
    x = 62,974,498.46/6,912.96
  6. Step 6: Final answer
    x = 9,109.63

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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.