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Finding the Fourth Proportional to 10,863.72, 16,289.91 and 5,024.43

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Solution

The fourth proportional to 10,863.72, 16,289.91 and 5,024.43 is: 7,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.72 : 16,289.91 = 5,024.43 : x
  2. Step 2: Convert to fraction form
    10,863.72/16,289.91 = 5,024.43/x
  3. Step 3: Cross multiply
    10,863.72x = 16,289.91 × 5,024.43
  4. Step 4: Simplify right side
    10,863.72x = 81,847,512.50
  5. Step 5: Solve for x
    x = 81,847,512.50/10,863.72
  6. Step 6: Final answer
    x = 7,534.02

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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.