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Finding the Fourth Proportional to 8,002.67, 11,044.25 and 4,465.80

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Solution

The fourth proportional to 8,002.67, 11,044.25 and 4,465.80 is: 6,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.67 : 11,044.25 = 4,465.80 : x
  2. Step 2: Convert to fraction form
    8,002.67/11,044.25 = 4,465.80/x
  3. Step 3: Cross multiply
    8,002.67x = 11,044.25 × 4,465.80
  4. Step 4: Simplify right side
    8,002.67x = 49,321,406.07
  5. Step 5: Solve for x
    x = 49,321,406.07/8,002.67
  6. Step 6: Final answer
    x = 6,163.12

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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.