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Finding the Fourth Proportional to 7,660.90, 11,496.48 and 3,279.43

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Solution

The fourth proportional to 7,660.90, 11,496.48 and 3,279.43 is: 4,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.90 : 11,496.48 = 3,279.43 : x
  2. Step 2: Convert to fraction form
    7,660.90/11,496.48 = 3,279.43/x
  3. Step 3: Cross multiply
    7,660.90x = 11,496.48 × 3,279.43
  4. Step 4: Simplify right side
    7,660.90x = 37,701,901.41
  5. Step 5: Solve for x
    x = 37,701,901.41/7,660.90
  6. Step 6: Final answer
    x = 4,921.34

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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.