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Finding the Fourth Proportional to 7,694.69, 11,543.15 and 2,427.91

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Solution

The fourth proportional to 7,694.69, 11,543.15 and 2,427.91 is: 3,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.69 : 11,543.15 = 2,427.91 : x
  2. Step 2: Convert to fraction form
    7,694.69/11,543.15 = 2,427.91/x
  3. Step 3: Cross multiply
    7,694.69x = 11,543.15 × 2,427.91
  4. Step 4: Simplify right side
    7,694.69x = 28,025,729.32
  5. Step 5: Solve for x
    x = 28,025,729.32/7,694.69
  6. Step 6: Final answer
    x = 3,642.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.