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Finding the Fourth Proportional to 12,169.78, 16,794.42 and 7,978

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Solution

The fourth proportional to 12,169.78, 16,794.42 and 7,978 is: 11,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.78 : 16,794.42 = 7,978 : x
  2. Step 2: Convert to fraction form
    12,169.78/16,794.42 = 7,978/x
  3. Step 3: Cross multiply
    12,169.78x = 16,794.42 × 7,978
  4. Step 4: Simplify right side
    12,169.78x = 133,985,882.76
  5. Step 5: Solve for x
    x = 133,985,882.76/12,169.78
  6. Step 6: Final answer
    x = 11,009.72

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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.