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Finding the Fourth Proportional to 7,616.78, 11,428.57 and 4,842.73

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Solution

The fourth proportional to 7,616.78, 11,428.57 and 4,842.73 is: 7,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.78 : 11,428.57 = 4,842.73 : x
  2. Step 2: Convert to fraction form
    7,616.78/11,428.57 = 4,842.73/x
  3. Step 3: Cross multiply
    7,616.78x = 11,428.57 × 4,842.73
  4. Step 4: Simplify right side
    7,616.78x = 55,345,421.65
  5. Step 5: Solve for x
    x = 55,345,421.65/7,616.78
  6. Step 6: Final answer
    x = 7,266.25

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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.