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Finding the Fourth Proportional to 7,751.97, 10,696.05 and 4,394.52

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Solution

The fourth proportional to 7,751.97, 10,696.05 and 4,394.52 is: 6,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.97 : 10,696.05 = 4,394.52 : x
  2. Step 2: Convert to fraction form
    7,751.97/10,696.05 = 4,394.52/x
  3. Step 3: Cross multiply
    7,751.97x = 10,696.05 × 4,394.52
  4. Step 4: Simplify right side
    7,751.97x = 47,004,005.65
  5. Step 5: Solve for x
    x = 47,004,005.65/7,751.97
  6. Step 6: Final answer
    x = 6,063.49

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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.