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Finding the Fourth Proportional to 7,660.96, 11,480.81 and 3,490.78

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Solution

The fourth proportional to 7,660.96, 11,480.81 and 3,490.78 is: 5,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.96 : 11,480.81 = 3,490.78 : x
  2. Step 2: Convert to fraction form
    7,660.96/11,480.81 = 3,490.78/x
  3. Step 3: Cross multiply
    7,660.96x = 11,480.81 × 3,490.78
  4. Step 4: Simplify right side
    7,660.96x = 40,076,948.87
  5. Step 5: Solve for x
    x = 40,076,948.87/7,660.96
  6. Step 6: Final answer
    x = 5,231.32

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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.