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Finding the Fourth Proportional to 11,876.80, 17,816.22 and 3,111.72

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Solution

The fourth proportional to 11,876.80, 17,816.22 and 3,111.72 is: 4,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.80 : 17,816.22 = 3,111.72 : x
  2. Step 2: Convert to fraction form
    11,876.80/17,816.22 = 3,111.72/x
  3. Step 3: Cross multiply
    11,876.80x = 17,816.22 × 3,111.72
  4. Step 4: Simplify right side
    11,876.80x = 55,439,088.10
  5. Step 5: Solve for x
    x = 55,439,088.10/11,876.80
  6. Step 6: Final answer
    x = 4,667.85

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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.