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Finding the Fourth Proportional to 11,877.48, 17,806.74 and 5,634.36

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Solution

The fourth proportional to 11,877.48, 17,806.74 and 5,634.36 is: 8,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.48 : 17,806.74 = 5,634.36 : x
  2. Step 2: Convert to fraction form
    11,877.48/17,806.74 = 5,634.36/x
  3. Step 3: Cross multiply
    11,877.48x = 17,806.74 × 5,634.36
  4. Step 4: Simplify right side
    11,877.48x = 100,329,583.59
  5. Step 5: Solve for x
    x = 100,329,583.59/11,877.48
  6. Step 6: Final answer
    x = 8,447.04

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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.