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Finding the Fourth Proportional to 11,091.87, 15,285.74 and 7,942.59

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Solution

The fourth proportional to 11,091.87, 15,285.74 and 7,942.59 is: 10,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,091.87 : 15,285.74 = 7,942.59 : x
  2. Step 2: Convert to fraction form
    11,091.87/15,285.74 = 7,942.59/x
  3. Step 3: Cross multiply
    11,091.87x = 15,285.74 × 7,942.59
  4. Step 4: Simplify right side
    11,091.87x = 121,408,325.95
  5. Step 5: Solve for x
    x = 121,408,325.95/11,091.87
  6. Step 6: Final answer
    x = 10,945.70

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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.