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Finding the Fourth Proportional to 7,751.76, 10,694 and 4,767.36

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Solution

The fourth proportional to 7,751.76, 10,694 and 4,767.36 is: 6,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.76 : 10,694 = 4,767.36 : x
  2. Step 2: Convert to fraction form
    7,751.76/10,694 = 4,767.36/x
  3. Step 3: Cross multiply
    7,751.76x = 10,694 × 4,767.36
  4. Step 4: Simplify right side
    7,751.76x = 50,982,147.84
  5. Step 5: Solve for x
    x = 50,982,147.84/7,751.76
  6. Step 6: Final answer
    x = 6,576.85

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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.