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Finding the Fourth Proportional to 11,715.87, 17,577.91 and 5,141.21

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Solution

The fourth proportional to 11,715.87, 17,577.91 and 5,141.21 is: 7,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.87 : 17,577.91 = 5,141.21 : x
  2. Step 2: Convert to fraction form
    11,715.87/17,577.91 = 5,141.21/x
  3. Step 3: Cross multiply
    11,715.87x = 17,577.91 × 5,141.21
  4. Step 4: Simplify right side
    11,715.87x = 90,371,645.21
  5. Step 5: Solve for x
    x = 90,371,645.21/11,715.87
  6. Step 6: Final answer
    x = 7,713.61

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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.