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Finding the Fourth Proportional to 8,191.53, 12,286.89 and 2,997

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Solution

The fourth proportional to 8,191.53, 12,286.89 and 2,997 is: 4,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.53 : 12,286.89 = 2,997 : x
  2. Step 2: Convert to fraction form
    8,191.53/12,286.89 = 2,997/x
  3. Step 3: Cross multiply
    8,191.53x = 12,286.89 × 2,997
  4. Step 4: Simplify right side
    8,191.53x = 36,823,809.33
  5. Step 5: Solve for x
    x = 36,823,809.33/8,191.53
  6. Step 6: Final answer
    x = 4,495.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.