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Finding the Fourth Proportional to 8,104.88, 12,160.96 and 4,642.13

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Solution

The fourth proportional to 8,104.88, 12,160.96 and 4,642.13 is: 6,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.88 : 12,160.96 = 4,642.13 : x
  2. Step 2: Convert to fraction form
    8,104.88/12,160.96 = 4,642.13/x
  3. Step 3: Cross multiply
    8,104.88x = 12,160.96 × 4,642.13
  4. Step 4: Simplify right side
    8,104.88x = 56,452,757.24
  5. Step 5: Solve for x
    x = 56,452,757.24/8,104.88
  6. Step 6: Final answer
    x = 6,965.28

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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.