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Finding the Fourth Proportional to 8,077.91, 12,111.91 and 3,141.80

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Solution

The fourth proportional to 8,077.91, 12,111.91 and 3,141.80 is: 4,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.91 : 12,111.91 = 3,141.80 : x
  2. Step 2: Convert to fraction form
    8,077.91/12,111.91 = 3,141.80/x
  3. Step 3: Cross multiply
    8,077.91x = 12,111.91 × 3,141.80
  4. Step 4: Simplify right side
    8,077.91x = 38,053,175.84
  5. Step 5: Solve for x
    x = 38,053,175.84/8,077.91
  6. Step 6: Final answer
    x = 4,710.77

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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.