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Finding the Fourth Proportional to 10,369.52, 15,554.26 and 2,578.33

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Solution

The fourth proportional to 10,369.52, 15,554.26 and 2,578.33 is: 3,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.52 : 15,554.26 = 2,578.33 : x
  2. Step 2: Convert to fraction form
    10,369.52/15,554.26 = 2,578.33/x
  3. Step 3: Cross multiply
    10,369.52x = 15,554.26 × 2,578.33
  4. Step 4: Simplify right side
    10,369.52x = 40,104,037.85
  5. Step 5: Solve for x
    x = 40,104,037.85/10,369.52
  6. Step 6: Final answer
    x = 3,867.49

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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.