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Finding the Fourth Proportional to 10,797.36, 16,196.04 and 3,868.08

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Solution

The fourth proportional to 10,797.36, 16,196.04 and 3,868.08 is: 5,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.36 : 16,196.04 = 3,868.08 : x
  2. Step 2: Convert to fraction form
    10,797.36/16,196.04 = 3,868.08/x
  3. Step 3: Cross multiply
    10,797.36x = 16,196.04 × 3,868.08
  4. Step 4: Simplify right side
    10,797.36x = 62,647,578.40
  5. Step 5: Solve for x
    x = 62,647,578.40/10,797.36
  6. Step 6: Final answer
    x = 5,802.12

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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.