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Finding the Fourth Proportional to 8,291.02, 12,443 and 3,364.10

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Solution

The fourth proportional to 8,291.02, 12,443 and 3,364.10 is: 5,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.02 : 12,443 = 3,364.10 : x
  2. Step 2: Convert to fraction form
    8,291.02/12,443 = 3,364.10/x
  3. Step 3: Cross multiply
    8,291.02x = 12,443 × 3,364.10
  4. Step 4: Simplify right side
    8,291.02x = 41,859,496.30
  5. Step 5: Solve for x
    x = 41,859,496.30/8,291.02
  6. Step 6: Final answer
    x = 5,048.78

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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.