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Finding the Fourth Proportional to 7,561.38, 10,434.09 and 4,203.93

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Solution

The fourth proportional to 7,561.38, 10,434.09 and 4,203.93 is: 5,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.38 : 10,434.09 = 4,203.93 : x
  2. Step 2: Convert to fraction form
    7,561.38/10,434.09 = 4,203.93/x
  3. Step 3: Cross multiply
    7,561.38x = 10,434.09 × 4,203.93
  4. Step 4: Simplify right side
    7,561.38x = 43,864,183.97
  5. Step 5: Solve for x
    x = 43,864,183.97/7,561.38
  6. Step 6: Final answer
    x = 5,801.08

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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.