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Finding the Fourth Proportional to 7,367.69, 11,054.78 and 3,904.13

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Solution

The fourth proportional to 7,367.69, 11,054.78 and 3,904.13 is: 5,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.69 : 11,054.78 = 3,904.13 : x
  2. Step 2: Convert to fraction form
    7,367.69/11,054.78 = 3,904.13/x
  3. Step 3: Cross multiply
    7,367.69x = 11,054.78 × 3,904.13
  4. Step 4: Simplify right side
    7,367.69x = 43,159,223.45
  5. Step 5: Solve for x
    x = 43,159,223.45/7,367.69
  6. Step 6: Final answer
    x = 5,857.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.