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Finding the Fourth Proportional to 8,121.60, 12,182.05 and 4,827.43

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Solution

The fourth proportional to 8,121.60, 12,182.05 and 4,827.43 is: 7,240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.60 : 12,182.05 = 4,827.43 : x
  2. Step 2: Convert to fraction form
    8,121.60/12,182.05 = 4,827.43/x
  3. Step 3: Cross multiply
    8,121.60x = 12,182.05 × 4,827.43
  4. Step 4: Simplify right side
    8,121.60x = 58,807,993.63
  5. Step 5: Solve for x
    x = 58,807,993.63/8,121.60
  6. Step 6: Final answer
    x = 7,240.94

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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.