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Finding the Fourth Proportional to 11,815.09, 17,688.07 and 7,166.77

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Solution

The fourth proportional to 11,815.09, 17,688.07 and 7,166.77 is: 10,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.09 : 17,688.07 = 7,166.77 : x
  2. Step 2: Convert to fraction form
    11,815.09/17,688.07 = 7,166.77/x
  3. Step 3: Cross multiply
    11,815.09x = 17,688.07 × 7,166.77
  4. Step 4: Simplify right side
    11,815.09x = 126,766,329.43
  5. Step 5: Solve for x
    x = 126,766,329.43/11,815.09
  6. Step 6: Final answer
    x = 10,729.19

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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.