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Finding the Fourth Proportional to 10,653.80, 15,979.28 and 2,863.22

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Solution

The fourth proportional to 10,653.80, 15,979.28 and 2,863.22 is: 4,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.80 : 15,979.28 = 2,863.22 : x
  2. Step 2: Convert to fraction form
    10,653.80/15,979.28 = 2,863.22/x
  3. Step 3: Cross multiply
    10,653.80x = 15,979.28 × 2,863.22
  4. Step 4: Simplify right side
    10,653.80x = 45,752,099.87
  5. Step 5: Solve for x
    x = 45,752,099.87/10,653.80
  6. Step 6: Final answer
    x = 4,294.44

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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.