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Finding the Fourth Proportional to 11,677.26, 17,516.02 and 3,886.06

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Solution

The fourth proportional to 11,677.26, 17,516.02 and 3,886.06 is: 5,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.26 : 17,516.02 = 3,886.06 : x
  2. Step 2: Convert to fraction form
    11,677.26/17,516.02 = 3,886.06/x
  3. Step 3: Cross multiply
    11,677.26x = 17,516.02 × 3,886.06
  4. Step 4: Simplify right side
    11,677.26x = 68,068,304.68
  5. Step 5: Solve for x
    x = 68,068,304.68/11,677.26
  6. Step 6: Final answer
    x = 5,829.13

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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.