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Finding the Fourth Proportional to 8,561.88, 11,816.91 and 5,027.13

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Solution

The fourth proportional to 8,561.88, 11,816.91 and 5,027.13 is: 6,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.88 : 11,816.91 = 5,027.13 : x
  2. Step 2: Convert to fraction form
    8,561.88/11,816.91 = 5,027.13/x
  3. Step 3: Cross multiply
    8,561.88x = 11,816.91 × 5,027.13
  4. Step 4: Simplify right side
    8,561.88x = 59,405,142.77
  5. Step 5: Solve for x
    x = 59,405,142.77/8,561.88
  6. Step 6: Final answer
    x = 6,938.33

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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.