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Finding the Fourth Proportional to 11,498.75, 15,868.41 and 6,961.37

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Solution

The fourth proportional to 11,498.75, 15,868.41 and 6,961.37 is: 9,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.75 : 15,868.41 = 6,961.37 : x
  2. Step 2: Convert to fraction form
    11,498.75/15,868.41 = 6,961.37/x
  3. Step 3: Cross multiply
    11,498.75x = 15,868.41 × 6,961.37
  4. Step 4: Simplify right side
    11,498.75x = 110,465,793.98
  5. Step 5: Solve for x
    x = 110,465,793.98/11,498.75
  6. Step 6: Final answer
    x = 9,606.77

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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.