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Finding the Fourth Proportional to 8,071.15, 12,107.46 and 3,141.16

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Solution

The fourth proportional to 8,071.15, 12,107.46 and 3,141.16 is: 4,712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.15 : 12,107.46 = 3,141.16 : x
  2. Step 2: Convert to fraction form
    8,071.15/12,107.46 = 3,141.16/x
  3. Step 3: Cross multiply
    8,071.15x = 12,107.46 × 3,141.16
  4. Step 4: Simplify right side
    8,071.15x = 38,031,469.05
  5. Step 5: Solve for x
    x = 38,031,469.05/8,071.15
  6. Step 6: Final answer
    x = 4,712.03

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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.