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Finding the Fourth Proportional to 11,859.12, 17,797.45 and 5,619.14

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Solution

The fourth proportional to 11,859.12, 17,797.45 and 5,619.14 is: 8,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.12 : 17,797.45 = 5,619.14 : x
  2. Step 2: Convert to fraction form
    11,859.12/17,797.45 = 5,619.14/x
  3. Step 3: Cross multiply
    11,859.12x = 17,797.45 × 5,619.14
  4. Step 4: Simplify right side
    11,859.12x = 100,006,363.19
  5. Step 5: Solve for x
    x = 100,006,363.19/11,859.12
  6. Step 6: Final answer
    x = 8,432.87

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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.