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Finding the Fourth Proportional to 8,005.56, 12,004.68 and 2,456.97

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Solution

The fourth proportional to 8,005.56, 12,004.68 and 2,456.97 is: 3,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.56 : 12,004.68 = 2,456.97 : x
  2. Step 2: Convert to fraction form
    8,005.56/12,004.68 = 2,456.97/x
  3. Step 3: Cross multiply
    8,005.56x = 12,004.68 × 2,456.97
  4. Step 4: Simplify right side
    8,005.56x = 29,495,138.62
  5. Step 5: Solve for x
    x = 29,495,138.62/8,005.56
  6. Step 6: Final answer
    x = 3,684.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.