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Finding the Fourth Proportional to 10,961.92, 16,415 and 7,991.25

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Solution

The fourth proportional to 10,961.92, 16,415 and 7,991.25 is: 11,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.92 : 16,415 = 7,991.25 : x
  2. Step 2: Convert to fraction form
    10,961.92/16,415 = 7,991.25/x
  3. Step 3: Cross multiply
    10,961.92x = 16,415 × 7,991.25
  4. Step 4: Simplify right side
    10,961.92x = 131,176,368.75
  5. Step 5: Solve for x
    x = 131,176,368.75/10,961.92
  6. Step 6: Final answer
    x = 11,966.55

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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.