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Finding the Fourth Proportional to 8,006.07, 12,005.25 and 3,785.81

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Solution

The fourth proportional to 8,006.07, 12,005.25 and 3,785.81 is: 5,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.07 : 12,005.25 = 3,785.81 : x
  2. Step 2: Convert to fraction form
    8,006.07/12,005.25 = 3,785.81/x
  3. Step 3: Cross multiply
    8,006.07x = 12,005.25 × 3,785.81
  4. Step 4: Simplify right side
    8,006.07x = 45,449,535.48
  5. Step 5: Solve for x
    x = 45,449,535.48/8,006.07
  6. Step 6: Final answer
    x = 5,676.88

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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.