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Finding the Fourth Proportional to 8,077.77, 12,122.21 and 3,147.44

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Solution

The fourth proportional to 8,077.77, 12,122.21 and 3,147.44 is: 4,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.77 : 12,122.21 = 3,147.44 : x
  2. Step 2: Convert to fraction form
    8,077.77/12,122.21 = 3,147.44/x
  3. Step 3: Cross multiply
    8,077.77x = 12,122.21 × 3,147.44
  4. Step 4: Simplify right side
    8,077.77x = 38,153,875.90
  5. Step 5: Solve for x
    x = 38,153,875.90/8,077.77
  6. Step 6: Final answer
    x = 4,723.32

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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.