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Finding the Fourth Proportional to 8,694, 11,994 and 5,706

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Solution

The fourth proportional to 8,694, 11,994 and 5,706 is: 7,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694 : 11,994 = 5,706 : x
  2. Step 2: Convert to fraction form
    8,694/11,994 = 5,706/x
  3. Step 3: Cross multiply
    8,694x = 11,994 × 5,706
  4. Step 4: Simplify right side
    8,694x = 68,437,764
  5. Step 5: Solve for x
    x = 68,437,764/8,694
  6. Step 6: Final answer
    x = 7,871.84

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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.