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Finding the Fourth Proportional to 8,002.44, 11,043.56 and 4,466

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Solution

The fourth proportional to 8,002.44, 11,043.56 and 4,466 is: 6,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.44 : 11,043.56 = 4,466 : x
  2. Step 2: Convert to fraction form
    8,002.44/11,043.56 = 4,466/x
  3. Step 3: Cross multiply
    8,002.44x = 11,043.56 × 4,466
  4. Step 4: Simplify right side
    8,002.44x = 49,320,538.96
  5. Step 5: Solve for x
    x = 49,320,538.96/8,002.44
  6. Step 6: Final answer
    x = 6,163.19

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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.