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Finding the Fourth Proportional to 11,502.33, 17,257.14 and 3,711.75

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Solution

The fourth proportional to 11,502.33, 17,257.14 and 3,711.75 is: 5,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.33 : 17,257.14 = 3,711.75 : x
  2. Step 2: Convert to fraction form
    11,502.33/17,257.14 = 3,711.75/x
  3. Step 3: Cross multiply
    11,502.33x = 17,257.14 × 3,711.75
  4. Step 4: Simplify right side
    11,502.33x = 64,054,189.40
  5. Step 5: Solve for x
    x = 64,054,189.40/11,502.33
  6. Step 6: Final answer
    x = 5,568.80

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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.