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Finding the Fourth Proportional to 6,023.68, 8,311.68 and 3,540.16

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Solution

The fourth proportional to 6,023.68, 8,311.68 and 3,540.16 is: 4,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.68 : 8,311.68 = 3,540.16 : x
  2. Step 2: Convert to fraction form
    6,023.68/8,311.68 = 3,540.16/x
  3. Step 3: Cross multiply
    6,023.68x = 8,311.68 × 3,540.16
  4. Step 4: Simplify right side
    6,023.68x = 29,424,677.07
  5. Step 5: Solve for x
    x = 29,424,677.07/6,023.68
  6. Step 6: Final answer
    x = 4,884.83

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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.