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Finding the Fourth Proportional to 7,760.97, 11,647.94 and 3,085.29

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Solution

The fourth proportional to 7,760.97, 11,647.94 and 3,085.29 is: 4,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.97 : 11,647.94 = 3,085.29 : x
  2. Step 2: Convert to fraction form
    7,760.97/11,647.94 = 3,085.29/x
  3. Step 3: Cross multiply
    7,760.97x = 11,647.94 × 3,085.29
  4. Step 4: Simplify right side
    7,760.97x = 35,937,257.38
  5. Step 5: Solve for x
    x = 35,937,257.38/7,760.97
  6. Step 6: Final answer
    x = 4,630.51

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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.