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Finding the Fourth Proportional to 8,032.86, 11,081.58 and 5,005.44

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Solution

The fourth proportional to 8,032.86, 11,081.58 and 5,005.44 is: 6,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.86 : 11,081.58 = 5,005.44 : x
  2. Step 2: Convert to fraction form
    8,032.86/11,081.58 = 5,005.44/x
  3. Step 3: Cross multiply
    8,032.86x = 11,081.58 × 5,005.44
  4. Step 4: Simplify right side
    8,032.86x = 55,468,183.80
  5. Step 5: Solve for x
    x = 55,468,183.80/8,032.86
  6. Step 6: Final answer
    x = 6,905.16

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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.