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Finding the Fourth Proportional to 7,240.38, 9,986.25 and 5,005.99

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Solution

The fourth proportional to 7,240.38, 9,986.25 and 5,005.99 is: 6,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.38 : 9,986.25 = 5,005.99 : x
  2. Step 2: Convert to fraction form
    7,240.38/9,986.25 = 5,005.99/x
  3. Step 3: Cross multiply
    7,240.38x = 9,986.25 × 5,005.99
  4. Step 4: Simplify right side
    7,240.38x = 49,991,067.64
  5. Step 5: Solve for x
    x = 49,991,067.64/7,240.38
  6. Step 6: Final answer
    x = 6,904.48

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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.