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Finding the Fourth Proportional to 12,711.29, 17,540.75 and 7,121.21

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Solution

The fourth proportional to 12,711.29, 17,540.75 and 7,121.21 is: 9,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.29 : 17,540.75 = 7,121.21 : x
  2. Step 2: Convert to fraction form
    12,711.29/17,540.75 = 7,121.21/x
  3. Step 3: Cross multiply
    12,711.29x = 17,540.75 × 7,121.21
  4. Step 4: Simplify right side
    12,711.29x = 124,911,328.70
  5. Step 5: Solve for x
    x = 124,911,328.70/12,711.29
  6. Step 6: Final answer
    x = 9,826.80

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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.