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Finding the Fourth Proportional to 7,324.98, 10,993.40 and 4,164.36

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Solution

The fourth proportional to 7,324.98, 10,993.40 and 4,164.36 is: 6,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.98 : 10,993.40 = 4,164.36 : x
  2. Step 2: Convert to fraction form
    7,324.98/10,993.40 = 4,164.36/x
  3. Step 3: Cross multiply
    7,324.98x = 10,993.40 × 4,164.36
  4. Step 4: Simplify right side
    7,324.98x = 45,780,454.40
  5. Step 5: Solve for x
    x = 45,780,454.40/7,324.98
  6. Step 6: Final answer
    x = 6,249.91

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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.