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Finding the Fourth Proportional to 6,182.60, 8,531.82 and 4,083.08

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Solution

The fourth proportional to 6,182.60, 8,531.82 and 4,083.08 is: 5,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.60 : 8,531.82 = 4,083.08 : x
  2. Step 2: Convert to fraction form
    6,182.60/8,531.82 = 4,083.08/x
  3. Step 3: Cross multiply
    6,182.60x = 8,531.82 × 4,083.08
  4. Step 4: Simplify right side
    6,182.60x = 34,836,103.61
  5. Step 5: Solve for x
    x = 34,836,103.61/6,182.60
  6. Step 6: Final answer
    x = 5,634.54

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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.