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Finding the Fourth Proportional to 7,055.26, 9,736.11 and 3,911.38

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Solution

The fourth proportional to 7,055.26, 9,736.11 and 3,911.38 is: 5,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.26 : 9,736.11 = 3,911.38 : x
  2. Step 2: Convert to fraction form
    7,055.26/9,736.11 = 3,911.38/x
  3. Step 3: Cross multiply
    7,055.26x = 9,736.11 × 3,911.38
  4. Step 4: Simplify right side
    7,055.26x = 38,081,625.93
  5. Step 5: Solve for x
    x = 38,081,625.93/7,055.26
  6. Step 6: Final answer
    x = 5,397.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.