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Finding the Fourth Proportional to 8,188.52, 12,278.46 and 3,569

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Solution

The fourth proportional to 8,188.52, 12,278.46 and 3,569 is: 5,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.52 : 12,278.46 = 3,569 : x
  2. Step 2: Convert to fraction form
    8,188.52/12,278.46 = 3,569/x
  3. Step 3: Cross multiply
    8,188.52x = 12,278.46 × 3,569
  4. Step 4: Simplify right side
    8,188.52x = 43,821,823.74
  5. Step 5: Solve for x
    x = 43,821,823.74/8,188.52
  6. Step 6: Final answer
    x = 5,351.62

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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.