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Finding the Fourth Proportional to 8,148.40, 12,224.12 and 3,762.96

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Solution

The fourth proportional to 8,148.40, 12,224.12 and 3,762.96 is: 5,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.40 : 12,224.12 = 3,762.96 : x
  2. Step 2: Convert to fraction form
    8,148.40/12,224.12 = 3,762.96/x
  3. Step 3: Cross multiply
    8,148.40x = 12,224.12 × 3,762.96
  4. Step 4: Simplify right side
    8,148.40x = 45,998,874.60
  5. Step 5: Solve for x
    x = 45,998,874.60/8,148.40
  6. Step 6: Final answer
    x = 5,645.14

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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.