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Finding the Fourth Proportional to 8,181.96, 12,273.66 and 2,988.24

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Solution

The fourth proportional to 8,181.96, 12,273.66 and 2,988.24 is: 4,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.96 : 12,273.66 = 2,988.24 : x
  2. Step 2: Convert to fraction form
    8,181.96/12,273.66 = 2,988.24/x
  3. Step 3: Cross multiply
    8,181.96x = 12,273.66 × 2,988.24
  4. Step 4: Simplify right side
    8,181.96x = 36,676,641.76
  5. Step 5: Solve for x
    x = 36,676,641.76/8,181.96
  6. Step 6: Final answer
    x = 4,482.62

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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.