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Finding the Fourth Proportional to 11,894.12, 17,827.81 and 5,649.02

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Solution

The fourth proportional to 11,894.12, 17,827.81 and 5,649.02 is: 8,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.12 : 17,827.81 = 5,649.02 : x
  2. Step 2: Convert to fraction form
    11,894.12/17,827.81 = 5,649.02/x
  3. Step 3: Cross multiply
    11,894.12x = 17,827.81 × 5,649.02
  4. Step 4: Simplify right side
    11,894.12x = 100,709,551.98
  5. Step 5: Solve for x
    x = 100,709,551.98/11,894.12
  6. Step 6: Final answer
    x = 8,467.17

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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.