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Finding the Fourth Proportional to 7,772.15, 11,660.04 and 2,225.34

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Solution

The fourth proportional to 7,772.15, 11,660.04 and 2,225.34 is: 3,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.15 : 11,660.04 = 2,225.34 : x
  2. Step 2: Convert to fraction form
    7,772.15/11,660.04 = 2,225.34/x
  3. Step 3: Cross multiply
    7,772.15x = 11,660.04 × 2,225.34
  4. Step 4: Simplify right side
    7,772.15x = 25,947,553.41
  5. Step 5: Solve for x
    x = 25,947,553.41/7,772.15
  6. Step 6: Final answer
    x = 3,338.53

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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.