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Finding the Fourth Proportional to 8,198.02, 12,289.65 and 3,002.68

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Solution

The fourth proportional to 8,198.02, 12,289.65 and 3,002.68 is: 4,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.02 : 12,289.65 = 3,002.68 : x
  2. Step 2: Convert to fraction form
    8,198.02/12,289.65 = 3,002.68/x
  3. Step 3: Cross multiply
    8,198.02x = 12,289.65 × 3,002.68
  4. Step 4: Simplify right side
    8,198.02x = 36,901,886.26
  5. Step 5: Solve for x
    x = 36,901,886.26/8,198.02
  6. Step 6: Final answer
    x = 4,501.32

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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.