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Finding the Fourth Proportional to 8,110.31, 12,085.97 and 7,846.04

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Solution

The fourth proportional to 8,110.31, 12,085.97 and 7,846.04 is: 11,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.31 : 12,085.97 = 7,846.04 : x
  2. Step 2: Convert to fraction form
    8,110.31/12,085.97 = 7,846.04/x
  3. Step 3: Cross multiply
    8,110.31x = 12,085.97 × 7,846.04
  4. Step 4: Simplify right side
    8,110.31x = 94,826,995.04
  5. Step 5: Solve for x
    x = 94,826,995.04/8,110.31
  6. Step 6: Final answer
    x = 11,692.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.