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Finding the Fourth Proportional to 8,077.75, 11,147.43 and 4,443.96

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Solution

The fourth proportional to 8,077.75, 11,147.43 and 4,443.96 is: 6,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.75 : 11,147.43 = 4,443.96 : x
  2. Step 2: Convert to fraction form
    8,077.75/11,147.43 = 4,443.96/x
  3. Step 3: Cross multiply
    8,077.75x = 11,147.43 × 4,443.96
  4. Step 4: Simplify right side
    8,077.75x = 49,538,733.02
  5. Step 5: Solve for x
    x = 49,538,733.02/8,077.75
  6. Step 6: Final answer
    x = 6,132.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.