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Finding the Fourth Proportional to 8,102.89, 12,149.70 and 4,818.28

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Solution

The fourth proportional to 8,102.89, 12,149.70 and 4,818.28 is: 7,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.89 : 12,149.70 = 4,818.28 : x
  2. Step 2: Convert to fraction form
    8,102.89/12,149.70 = 4,818.28/x
  3. Step 3: Cross multiply
    8,102.89x = 12,149.70 × 4,818.28
  4. Step 4: Simplify right side
    8,102.89x = 58,540,656.52
  5. Step 5: Solve for x
    x = 58,540,656.52/8,102.89
  6. Step 6: Final answer
    x = 7,224.66

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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.