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Finding the Fourth Proportional to 11,513.94, 17,290.17 and 10,065.66

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Solution

The fourth proportional to 11,513.94, 17,290.17 and 10,065.66 is: 15,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.94 : 17,290.17 = 10,065.66 : x
  2. Step 2: Convert to fraction form
    11,513.94/17,290.17 = 10,065.66/x
  3. Step 3: Cross multiply
    11,513.94x = 17,290.17 × 10,065.66
  4. Step 4: Simplify right side
    11,513.94x = 174,036,972.56
  5. Step 5: Solve for x
    x = 174,036,972.56/11,513.94
  6. Step 6: Final answer
    x = 15,115.33

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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.