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Finding the Fourth Proportional to 7,297.27, 10,069.81 and 4,313.38

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Solution

The fourth proportional to 7,297.27, 10,069.81 and 4,313.38 is: 5,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.27 : 10,069.81 = 4,313.38 : x
  2. Step 2: Convert to fraction form
    7,297.27/10,069.81 = 4,313.38/x
  3. Step 3: Cross multiply
    7,297.27x = 10,069.81 × 4,313.38
  4. Step 4: Simplify right side
    7,297.27x = 43,434,917.06
  5. Step 5: Solve for x
    x = 43,434,917.06/7,297.27
  6. Step 6: Final answer
    x = 5,952.21

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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.