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Finding the Fourth Proportional to 8,694, 11,995.67 and 5,866.61

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Solution

The fourth proportional to 8,694, 11,995.67 and 5,866.61 is: 8,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694 : 11,995.67 = 5,866.61 : x
  2. Step 2: Convert to fraction form
    8,694/11,995.67 = 5,866.61/x
  3. Step 3: Cross multiply
    8,694x = 11,995.67 × 5,866.61
  4. Step 4: Simplify right side
    8,694x = 70,373,828.27
  5. Step 5: Solve for x
    x = 70,373,828.27/8,694
  6. Step 6: Final answer
    x = 8,094.53

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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.