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Finding the Fourth Proportional to 7,686.38, 10,608.21 and 4,662.69

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Solution

The fourth proportional to 7,686.38, 10,608.21 and 4,662.69 is: 6,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.38 : 10,608.21 = 4,662.69 : x
  2. Step 2: Convert to fraction form
    7,686.38/10,608.21 = 4,662.69/x
  3. Step 3: Cross multiply
    7,686.38x = 10,608.21 × 4,662.69
  4. Step 4: Simplify right side
    7,686.38x = 49,462,794.68
  5. Step 5: Solve for x
    x = 49,462,794.68/7,686.38
  6. Step 6: Final answer
    x = 6,435.13

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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.