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Finding the Fourth Proportional to 10,992.25, 15,169.31 and 5,956.50

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Solution

The fourth proportional to 10,992.25, 15,169.31 and 5,956.50 is: 8,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.25 : 15,169.31 = 5,956.50 : x
  2. Step 2: Convert to fraction form
    10,992.25/15,169.31 = 5,956.50/x
  3. Step 3: Cross multiply
    10,992.25x = 15,169.31 × 5,956.50
  4. Step 4: Simplify right side
    10,992.25x = 90,355,965.23
  5. Step 5: Solve for x
    x = 90,355,965.23/10,992.25
  6. Step 6: Final answer
    x = 8,219.97

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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.