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Finding the Fourth Proportional to 7,768.79, 11,648.58 and 3,086.29

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Solution

The fourth proportional to 7,768.79, 11,648.58 and 3,086.29 is: 4,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.79 : 11,648.58 = 3,086.29 : x
  2. Step 2: Convert to fraction form
    7,768.79/11,648.58 = 3,086.29/x
  3. Step 3: Cross multiply
    7,768.79x = 11,648.58 × 3,086.29
  4. Step 4: Simplify right side
    7,768.79x = 35,950,866.85
  5. Step 5: Solve for x
    x = 35,950,866.85/7,768.79
  6. Step 6: Final answer
    x = 4,627.60

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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.