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Finding the Fourth Proportional to 7,206.15, 10,813.28 and 3,919.48

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Solution

The fourth proportional to 7,206.15, 10,813.28 and 3,919.48 is: 5,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.15 : 10,813.28 = 3,919.48 : x
  2. Step 2: Convert to fraction form
    7,206.15/10,813.28 = 3,919.48/x
  3. Step 3: Cross multiply
    7,206.15x = 10,813.28 × 3,919.48
  4. Step 4: Simplify right side
    7,206.15x = 42,382,361.03
  5. Step 5: Solve for x
    x = 42,382,361.03/7,206.15
  6. Step 6: Final answer
    x = 5,881.42

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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.