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Finding the Fourth Proportional to 8,002.66, 11,993.37 and 4,253.65

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Solution

The fourth proportional to 8,002.66, 11,993.37 and 4,253.65 is: 6,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.66 : 11,993.37 = 4,253.65 : x
  2. Step 2: Convert to fraction form
    8,002.66/11,993.37 = 4,253.65/x
  3. Step 3: Cross multiply
    8,002.66x = 11,993.37 × 4,253.65
  4. Step 4: Simplify right side
    8,002.66x = 51,015,598.30
  5. Step 5: Solve for x
    x = 51,015,598.30/8,002.66
  6. Step 6: Final answer
    x = 6,374.83

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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.