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Finding the Fourth Proportional to 7,772.78, 11,660.80 and 2,508.18

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Solution

The fourth proportional to 7,772.78, 11,660.80 and 2,508.18 is: 3,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.78 : 11,660.80 = 2,508.18 : x
  2. Step 2: Convert to fraction form
    7,772.78/11,660.80 = 2,508.18/x
  3. Step 3: Cross multiply
    7,772.78x = 11,660.80 × 2,508.18
  4. Step 4: Simplify right side
    7,772.78x = 29,247,385.34
  5. Step 5: Solve for x
    x = 29,247,385.34/7,772.78
  6. Step 6: Final answer
    x = 3,762.80

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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.