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Finding the Fourth Proportional to 8,054.70, 12,084.48 and 5,432.73

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Solution

The fourth proportional to 8,054.70, 12,084.48 and 5,432.73 is: 8,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.70 : 12,084.48 = 5,432.73 : x
  2. Step 2: Convert to fraction form
    8,054.70/12,084.48 = 5,432.73/x
  3. Step 3: Cross multiply
    8,054.70x = 12,084.48 × 5,432.73
  4. Step 4: Simplify right side
    8,054.70x = 65,651,717.03
  5. Step 5: Solve for x
    x = 65,651,717.03/8,054.70
  6. Step 6: Final answer
    x = 8,150.73

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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.