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Finding the Fourth Proportional to 12,778.56, 19,177.97 and 5,388.12

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Solution

The fourth proportional to 12,778.56, 19,177.97 and 5,388.12 is: 8,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.56 : 19,177.97 = 5,388.12 : x
  2. Step 2: Convert to fraction form
    12,778.56/19,177.97 = 5,388.12/x
  3. Step 3: Cross multiply
    12,778.56x = 19,177.97 × 5,388.12
  4. Step 4: Simplify right side
    12,778.56x = 103,333,176.78
  5. Step 5: Solve for x
    x = 103,333,176.78/12,778.56
  6. Step 6: Final answer
    x = 8,086.45

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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.