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Finding the Fourth Proportional to 7,127.67, 10,696.11 and 3,843.06

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Solution

The fourth proportional to 7,127.67, 10,696.11 and 3,843.06 is: 5,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.67 : 10,696.11 = 3,843.06 : x
  2. Step 2: Convert to fraction form
    7,127.67/10,696.11 = 3,843.06/x
  3. Step 3: Cross multiply
    7,127.67x = 10,696.11 × 3,843.06
  4. Step 4: Simplify right side
    7,127.67x = 41,105,792.50
  5. Step 5: Solve for x
    x = 41,105,792.50/7,127.67
  6. Step 6: Final answer
    x = 5,767.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.