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Finding the Fourth Proportional to 7,757.49, 11,616.80 and 6,122.91

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Solution

The fourth proportional to 7,757.49, 11,616.80 and 6,122.91 is: 9,169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.49 : 11,616.80 = 6,122.91 : x
  2. Step 2: Convert to fraction form
    7,757.49/11,616.80 = 6,122.91/x
  3. Step 3: Cross multiply
    7,757.49x = 11,616.80 × 6,122.91
  4. Step 4: Simplify right side
    7,757.49x = 71,128,590.27
  5. Step 5: Solve for x
    x = 71,128,590.27/7,757.49
  6. Step 6: Final answer
    x = 9,169.02

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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.