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Finding the Fourth Proportional to 8,182.31, 11,291.04 and 4,824.96

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Solution

The fourth proportional to 8,182.31, 11,291.04 and 4,824.96 is: 6,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.31 : 11,291.04 = 4,824.96 : x
  2. Step 2: Convert to fraction form
    8,182.31/11,291.04 = 4,824.96/x
  3. Step 3: Cross multiply
    8,182.31x = 11,291.04 × 4,824.96
  4. Step 4: Simplify right side
    8,182.31x = 54,478,862.68
  5. Step 5: Solve for x
    x = 54,478,862.68/8,182.31
  6. Step 6: Final answer
    x = 6,658.13

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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.