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Finding the Fourth Proportional to 8,182.60, 11,286.96 and 4,994.38

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Solution

The fourth proportional to 8,182.60, 11,286.96 and 4,994.38 is: 6,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.60 : 11,286.96 = 4,994.38 : x
  2. Step 2: Convert to fraction form
    8,182.60/11,286.96 = 4,994.38/x
  3. Step 3: Cross multiply
    8,182.60x = 11,286.96 × 4,994.38
  4. Step 4: Simplify right side
    8,182.60x = 56,371,367.28
  5. Step 5: Solve for x
    x = 56,371,367.28/8,182.60
  6. Step 6: Final answer
    x = 6,889.18

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Why These Related Problems?

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