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Finding the Fourth Proportional to 11,876.70, 17,813.82 and 3,110.48

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Solution

The fourth proportional to 11,876.70, 17,813.82 and 3,110.48 is: 4,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.70 : 17,813.82 = 3,110.48 : x
  2. Step 2: Convert to fraction form
    11,876.70/17,813.82 = 3,110.48/x
  3. Step 3: Cross multiply
    11,876.70x = 17,813.82 × 3,110.48
  4. Step 4: Simplify right side
    11,876.70x = 55,409,530.83
  5. Step 5: Solve for x
    x = 55,409,530.83/11,876.70
  6. Step 6: Final answer
    x = 4,665.40

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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.