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Finding the Fourth Proportional to 7,306.39, 10,150.42 and 7,238.08

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Solution

The fourth proportional to 7,306.39, 10,150.42 and 7,238.08 is: 10,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.39 : 10,150.42 = 7,238.08 : x
  2. Step 2: Convert to fraction form
    7,306.39/10,150.42 = 7,238.08/x
  3. Step 3: Cross multiply
    7,306.39x = 10,150.42 × 7,238.08
  4. Step 4: Simplify right side
    7,306.39x = 73,469,551.99
  5. Step 5: Solve for x
    x = 73,469,551.99/7,306.39
  6. Step 6: Final answer
    x = 10,055.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.