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Finding the Fourth Proportional to 6,962.72, 10,443.92 and 1,768.60

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Solution

The fourth proportional to 6,962.72, 10,443.92 and 1,768.60 is: 2,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.72 : 10,443.92 = 1,768.60 : x
  2. Step 2: Convert to fraction form
    6,962.72/10,443.92 = 1,768.60/x
  3. Step 3: Cross multiply
    6,962.72x = 10,443.92 × 1,768.60
  4. Step 4: Simplify right side
    6,962.72x = 18,471,116.91
  5. Step 5: Solve for x
    x = 18,471,116.91/6,962.72
  6. Step 6: Final answer
    x = 2,652.86

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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.