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Finding the Fourth Proportional to 11,893.26, 16,412.76 and 7,708.80

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Solution

The fourth proportional to 11,893.26, 16,412.76 and 7,708.80 is: 10,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.26 : 16,412.76 = 7,708.80 : x
  2. Step 2: Convert to fraction form
    11,893.26/16,412.76 = 7,708.80/x
  3. Step 3: Cross multiply
    11,893.26x = 16,412.76 × 7,708.80
  4. Step 4: Simplify right side
    11,893.26x = 126,522,684.29
  5. Step 5: Solve for x
    x = 126,522,684.29/11,893.26
  6. Step 6: Final answer
    x = 10,638.18

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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.