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Finding the Fourth Proportional to 5,540.64, 8,313.12 and 5,169.12

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Solution

The fourth proportional to 5,540.64, 8,313.12 and 5,169.12 is: 7,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.64 : 8,313.12 = 5,169.12 : x
  2. Step 2: Convert to fraction form
    5,540.64/8,313.12 = 5,169.12/x
  3. Step 3: Cross multiply
    5,540.64x = 8,313.12 × 5,169.12
  4. Step 4: Simplify right side
    5,540.64x = 42,971,514.85
  5. Step 5: Solve for x
    x = 42,971,514.85/5,540.64
  6. Step 6: Final answer
    x = 7,755.70

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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.