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Finding the Fourth Proportional to 12,778.80, 17,635.26 and 7,113.78

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Solution

The fourth proportional to 12,778.80, 17,635.26 and 7,113.78 is: 9,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.80 : 17,635.26 = 7,113.78 : x
  2. Step 2: Convert to fraction form
    12,778.80/17,635.26 = 7,113.78/x
  3. Step 3: Cross multiply
    12,778.80x = 17,635.26 × 7,113.78
  4. Step 4: Simplify right side
    12,778.80x = 125,453,359.88
  5. Step 5: Solve for x
    x = 125,453,359.88/12,778.80
  6. Step 6: Final answer
    x = 9,817.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.