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Finding the Fourth Proportional to 8,051.44, 12,080.80 and 3,122.18

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Solution

The fourth proportional to 8,051.44, 12,080.80 and 3,122.18 is: 4,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.44 : 12,080.80 = 3,122.18 : x
  2. Step 2: Convert to fraction form
    8,051.44/12,080.80 = 3,122.18/x
  3. Step 3: Cross multiply
    8,051.44x = 12,080.80 × 3,122.18
  4. Step 4: Simplify right side
    8,051.44x = 37,718,432.14
  5. Step 5: Solve for x
    x = 37,718,432.14/8,051.44
  6. Step 6: Final answer
    x = 4,684.68

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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.