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Finding the Fourth Proportional to 8,024.36, 12,035.16 and 2,179.60

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Solution

The fourth proportional to 8,024.36, 12,035.16 and 2,179.60 is: 3,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.36 : 12,035.16 = 2,179.60 : x
  2. Step 2: Convert to fraction form
    8,024.36/12,035.16 = 2,179.60/x
  3. Step 3: Cross multiply
    8,024.36x = 12,035.16 × 2,179.60
  4. Step 4: Simplify right side
    8,024.36x = 26,231,834.74
  5. Step 5: Solve for x
    x = 26,231,834.74/8,024.36
  6. Step 6: Final answer
    x = 3,269.03

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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.