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Finding the Fourth Proportional to 10,244, 15,366.36 and 5,859.44

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Solution

The fourth proportional to 10,244, 15,366.36 and 5,859.44 is: 8,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244 : 15,366.36 = 5,859.44 : x
  2. Step 2: Convert to fraction form
    10,244/15,366.36 = 5,859.44/x
  3. Step 3: Cross multiply
    10,244x = 15,366.36 × 5,859.44
  4. Step 4: Simplify right side
    10,244x = 90,038,264.44
  5. Step 5: Solve for x
    x = 90,038,264.44/10,244
  6. Step 6: Final answer
    x = 8,789.37

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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.