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Finding the Fourth Proportional to 7,757.98, 11,642.16 and 2,760.16

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Solution

The fourth proportional to 7,757.98, 11,642.16 and 2,760.16 is: 4,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.98 : 11,642.16 = 2,760.16 : x
  2. Step 2: Convert to fraction form
    7,757.98/11,642.16 = 2,760.16/x
  3. Step 3: Cross multiply
    7,757.98x = 11,642.16 × 2,760.16
  4. Step 4: Simplify right side
    7,757.98x = 32,134,166.13
  5. Step 5: Solve for x
    x = 32,134,166.13/7,757.98
  6. Step 6: Final answer
    x = 4,142.08

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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.