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Finding the Fourth Proportional to 7,616.75, 11,425.84 and 6,242.27

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Solution

The fourth proportional to 7,616.75, 11,425.84 and 6,242.27 is: 9,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.75 : 11,425.84 = 6,242.27 : x
  2. Step 2: Convert to fraction form
    7,616.75/11,425.84 = 6,242.27/x
  3. Step 3: Cross multiply
    7,616.75x = 11,425.84 × 6,242.27
  4. Step 4: Simplify right side
    7,616.75x = 71,323,105.52
  5. Step 5: Solve for x
    x = 71,323,105.52/7,616.75
  6. Step 6: Final answer
    x = 9,363.99

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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.