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Finding the Fourth Proportional to 8,327.40, 12,491.62 and 2,781.24

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Solution

The fourth proportional to 8,327.40, 12,491.62 and 2,781.24 is: 4,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.40 : 12,491.62 = 2,781.24 : x
  2. Step 2: Convert to fraction form
    8,327.40/12,491.62 = 2,781.24/x
  3. Step 3: Cross multiply
    8,327.40x = 12,491.62 × 2,781.24
  4. Step 4: Simplify right side
    8,327.40x = 34,742,193.21
  5. Step 5: Solve for x
    x = 34,742,193.21/8,327.40
  6. Step 6: Final answer
    x = 4,172.03

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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.