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Finding the Fourth Proportional to 6,767.76, 10,149.12 and 2,607.60

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Solution

The fourth proportional to 6,767.76, 10,149.12 and 2,607.60 is: 3,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.76 : 10,149.12 = 2,607.60 : x
  2. Step 2: Convert to fraction form
    6,767.76/10,149.12 = 2,607.60/x
  3. Step 3: Cross multiply
    6,767.76x = 10,149.12 × 2,607.60
  4. Step 4: Simplify right side
    6,767.76x = 26,464,845.31
  5. Step 5: Solve for x
    x = 26,464,845.31/6,767.76
  6. Step 6: Final answer
    x = 3,910.43

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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.