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Finding the Fourth Proportional to 8,524.84, 11,767.14 and 5,881

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Solution

The fourth proportional to 8,524.84, 11,767.14 and 5,881 is: 8,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.84 : 11,767.14 = 5,881 : x
  2. Step 2: Convert to fraction form
    8,524.84/11,767.14 = 5,881/x
  3. Step 3: Cross multiply
    8,524.84x = 11,767.14 × 5,881
  4. Step 4: Simplify right side
    8,524.84x = 69,202,550.34
  5. Step 5: Solve for x
    x = 69,202,550.34/8,524.84
  6. Step 6: Final answer
    x = 8,117.75

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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.