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Finding the Fourth Proportional to 8,563.84, 11,817.66 and 5,027.92

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Solution

The fourth proportional to 8,563.84, 11,817.66 and 5,027.92 is: 6,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.84 : 11,817.66 = 5,027.92 : x
  2. Step 2: Convert to fraction form
    8,563.84/11,817.66 = 5,027.92/x
  3. Step 3: Cross multiply
    8,563.84x = 11,817.66 × 5,027.92
  4. Step 4: Simplify right side
    8,563.84x = 59,418,249.07
  5. Step 5: Solve for x
    x = 59,418,249.07/8,563.84
  6. Step 6: Final answer
    x = 6,938.27

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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.