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Finding the Fourth Proportional to 6,512.74, 8,983.85 and 4,118.31

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Solution

The fourth proportional to 6,512.74, 8,983.85 and 4,118.31 is: 5,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.74 : 8,983.85 = 4,118.31 : x
  2. Step 2: Convert to fraction form
    6,512.74/8,983.85 = 4,118.31/x
  3. Step 3: Cross multiply
    6,512.74x = 8,983.85 × 4,118.31
  4. Step 4: Simplify right side
    6,512.74x = 36,998,258.70
  5. Step 5: Solve for x
    x = 36,998,258.70/6,512.74
  6. Step 6: Final answer
    x = 5,680.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.