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Finding the Fourth Proportional to 8,323.82, 11,488.19 and 6,091.86

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Solution

The fourth proportional to 8,323.82, 11,488.19 and 6,091.86 is: 8,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.82 : 11,488.19 = 6,091.86 : x
  2. Step 2: Convert to fraction form
    8,323.82/11,488.19 = 6,091.86/x
  3. Step 3: Cross multiply
    8,323.82x = 11,488.19 × 6,091.86
  4. Step 4: Simplify right side
    8,323.82x = 69,984,445.13
  5. Step 5: Solve for x
    x = 69,984,445.13/8,323.82
  6. Step 6: Final answer
    x = 8,407.73

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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.