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Finding the Fourth Proportional to 6,115.68, 8,440.20 and 3,758.76

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Solution

The fourth proportional to 6,115.68, 8,440.20 and 3,758.76 is: 5,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.68 : 8,440.20 = 3,758.76 : x
  2. Step 2: Convert to fraction form
    6,115.68/8,440.20 = 3,758.76/x
  3. Step 3: Cross multiply
    6,115.68x = 8,440.20 × 3,758.76
  4. Step 4: Simplify right side
    6,115.68x = 31,724,686.15
  5. Step 5: Solve for x
    x = 31,724,686.15/6,115.68
  6. Step 6: Final answer
    x = 5,187.43

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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.