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Finding the Fourth Proportional to 8,291.46, 11,441.84 and 4,514.53

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Solution

The fourth proportional to 8,291.46, 11,441.84 and 4,514.53 is: 6,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.46 : 11,441.84 = 4,514.53 : x
  2. Step 2: Convert to fraction form
    8,291.46/11,441.84 = 4,514.53/x
  3. Step 3: Cross multiply
    8,291.46x = 11,441.84 × 4,514.53
  4. Step 4: Simplify right side
    8,291.46x = 51,654,529.94
  5. Step 5: Solve for x
    x = 51,654,529.94/8,291.46
  6. Step 6: Final answer
    x = 6,229.85

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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.