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Finding the Fourth Proportional to 8,104.38, 12,157.16 and 2,838.80

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Solution

The fourth proportional to 8,104.38, 12,157.16 and 2,838.80 is: 4,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.38 : 12,157.16 = 2,838.80 : x
  2. Step 2: Convert to fraction form
    8,104.38/12,157.16 = 2,838.80/x
  3. Step 3: Cross multiply
    8,104.38x = 12,157.16 × 2,838.80
  4. Step 4: Simplify right side
    8,104.38x = 34,511,670.83
  5. Step 5: Solve for x
    x = 34,511,670.83/8,104.38
  6. Step 6: Final answer
    x = 4,258.40

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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.