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Finding the Fourth Proportional to 8,101.42, 11,179.92 and 4,743.58

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Solution

The fourth proportional to 8,101.42, 11,179.92 and 4,743.58 is: 6,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.42 : 11,179.92 = 4,743.58 : x
  2. Step 2: Convert to fraction form
    8,101.42/11,179.92 = 4,743.58/x
  3. Step 3: Cross multiply
    8,101.42x = 11,179.92 × 4,743.58
  4. Step 4: Simplify right side
    8,101.42x = 53,032,844.91
  5. Step 5: Solve for x
    x = 53,032,844.91/8,101.42
  6. Step 6: Final answer
    x = 6,546.12

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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.