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Finding the Fourth Proportional to 8,132.82, 11,223.30 and 4,406.82

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Solution

The fourth proportional to 8,132.82, 11,223.30 and 4,406.82 is: 6,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.82 : 11,223.30 = 4,406.82 : x
  2. Step 2: Convert to fraction form
    8,132.82/11,223.30 = 4,406.82/x
  3. Step 3: Cross multiply
    8,132.82x = 11,223.30 × 4,406.82
  4. Step 4: Simplify right side
    8,132.82x = 49,459,062.91
  5. Step 5: Solve for x
    x = 49,459,062.91/8,132.82
  6. Step 6: Final answer
    x = 6,081.42

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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.