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Finding the Fourth Proportional to 6,682.75, 9,211.57 and 5,264.19

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Solution

The fourth proportional to 6,682.75, 9,211.57 and 5,264.19 is: 7,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.75 : 9,211.57 = 5,264.19 : x
  2. Step 2: Convert to fraction form
    6,682.75/9,211.57 = 5,264.19/x
  3. Step 3: Cross multiply
    6,682.75x = 9,211.57 × 5,264.19
  4. Step 4: Simplify right side
    6,682.75x = 48,491,454.68
  5. Step 5: Solve for x
    x = 48,491,454.68/6,682.75
  6. Step 6: Final answer
    x = 7,256.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.