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Finding the Fourth Proportional to 11,802.95, 17,695.57 and 7,121.85

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Solution

The fourth proportional to 11,802.95, 17,695.57 and 7,121.85 is: 10,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.95 : 17,695.57 = 7,121.85 : x
  2. Step 2: Convert to fraction form
    11,802.95/17,695.57 = 7,121.85/x
  3. Step 3: Cross multiply
    11,802.95x = 17,695.57 × 7,121.85
  4. Step 4: Simplify right side
    11,802.95x = 126,025,137.75
  5. Step 5: Solve for x
    x = 126,025,137.75/11,802.95
  6. Step 6: Final answer
    x = 10,677.43

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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.