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Finding the Fourth Proportional to 7,127.80, 10,696.29 and 3,843.18

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Solution

The fourth proportional to 7,127.80, 10,696.29 and 3,843.18 is: 5,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.80 : 10,696.29 = 3,843.18 : x
  2. Step 2: Convert to fraction form
    7,127.80/10,696.29 = 3,843.18/x
  3. Step 3: Cross multiply
    7,127.80x = 10,696.29 × 3,843.18
  4. Step 4: Simplify right side
    7,127.80x = 41,107,753.39
  5. Step 5: Solve for x
    x = 41,107,753.39/7,127.80
  6. Step 6: Final answer
    x = 5,767.24

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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.