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Finding the Fourth Proportional to 8,104.38, 12,160.22 and 4,641.63

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Solution

The fourth proportional to 8,104.38, 12,160.22 and 4,641.63 is: 6,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.38 : 12,160.22 = 4,641.63 : x
  2. Step 2: Convert to fraction form
    8,104.38/12,160.22 = 4,641.63/x
  3. Step 3: Cross multiply
    8,104.38x = 12,160.22 × 4,641.63
  4. Step 4: Simplify right side
    8,104.38x = 56,443,241.96
  5. Step 5: Solve for x
    x = 56,443,241.96/8,104.38
  6. Step 6: Final answer
    x = 6,964.54

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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.