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Finding the Fourth Proportional to 6,768.16, 10,142.73 and 5,101.18

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Solution

The fourth proportional to 6,768.16, 10,142.73 and 5,101.18 is: 7,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.16 : 10,142.73 = 5,101.18 : x
  2. Step 2: Convert to fraction form
    6,768.16/10,142.73 = 5,101.18/x
  3. Step 3: Cross multiply
    6,768.16x = 10,142.73 × 5,101.18
  4. Step 4: Simplify right side
    6,768.16x = 51,739,891.42
  5. Step 5: Solve for x
    x = 51,739,891.42/6,768.16
  6. Step 6: Final answer
    x = 7,644.60

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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.