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Finding the Fourth Proportional to 8,683.24, 13,023.44 and 2,443.68

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Solution

The fourth proportional to 8,683.24, 13,023.44 and 2,443.68 is: 3,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.24 : 13,023.44 = 2,443.68 : x
  2. Step 2: Convert to fraction form
    8,683.24/13,023.44 = 2,443.68/x
  3. Step 3: Cross multiply
    8,683.24x = 13,023.44 × 2,443.68
  4. Step 4: Simplify right side
    8,683.24x = 31,825,119.86
  5. Step 5: Solve for x
    x = 31,825,119.86/8,683.24
  6. Step 6: Final answer
    x = 3,665.12

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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.