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Finding the Fourth Proportional to 8,053.16, 12,077.97 and 4,100.22

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Solution

The fourth proportional to 8,053.16, 12,077.97 and 4,100.22 is: 6,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.16 : 12,077.97 = 4,100.22 : x
  2. Step 2: Convert to fraction form
    8,053.16/12,077.97 = 4,100.22/x
  3. Step 3: Cross multiply
    8,053.16x = 12,077.97 × 4,100.22
  4. Step 4: Simplify right side
    8,053.16x = 49,522,334.15
  5. Step 5: Solve for x
    x = 49,522,334.15/8,053.16
  6. Step 6: Final answer
    x = 6,149.43

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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.