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Finding the Fourth Proportional to 8,102.33, 12,157.02 and 2,841.12

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Solution

The fourth proportional to 8,102.33, 12,157.02 and 2,841.12 is: 4,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.33 : 12,157.02 = 2,841.12 : x
  2. Step 2: Convert to fraction form
    8,102.33/12,157.02 = 2,841.12/x
  3. Step 3: Cross multiply
    8,102.33x = 12,157.02 × 2,841.12
  4. Step 4: Simplify right side
    8,102.33x = 34,539,552.66
  5. Step 5: Solve for x
    x = 34,539,552.66/8,102.33
  6. Step 6: Final answer
    x = 4,262.92

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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.