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Finding the Fourth Proportional to 8,381.52, 11,563.16 and 5,024.43

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Solution

The fourth proportional to 8,381.52, 11,563.16 and 5,024.43 is: 6,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.52 : 11,563.16 = 5,024.43 : x
  2. Step 2: Convert to fraction form
    8,381.52/11,563.16 = 5,024.43/x
  3. Step 3: Cross multiply
    8,381.52x = 11,563.16 × 5,024.43
  4. Step 4: Simplify right side
    8,381.52x = 58,098,262.88
  5. Step 5: Solve for x
    x = 58,098,262.88/8,381.52
  6. Step 6: Final answer
    x = 6,931.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.