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Finding the Fourth Proportional to 8,038.53, 12,057.44 and 3,107.97

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Solution

The fourth proportional to 8,038.53, 12,057.44 and 3,107.97 is: 4,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.53 : 12,057.44 = 3,107.97 : x
  2. Step 2: Convert to fraction form
    8,038.53/12,057.44 = 3,107.97/x
  3. Step 3: Cross multiply
    8,038.53x = 12,057.44 × 3,107.97
  4. Step 4: Simplify right side
    8,038.53x = 37,474,146.26
  5. Step 5: Solve for x
    x = 37,474,146.26/8,038.53
  6. Step 6: Final answer
    x = 4,661.82

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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.