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Finding the Fourth Proportional to 11,411.82, 17,117.90 and 3,092.68

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Solution

The fourth proportional to 11,411.82, 17,117.90 and 3,092.68 is: 4,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.82 : 17,117.90 = 3,092.68 : x
  2. Step 2: Convert to fraction form
    11,411.82/17,117.90 = 3,092.68/x
  3. Step 3: Cross multiply
    11,411.82x = 17,117.90 × 3,092.68
  4. Step 4: Simplify right side
    11,411.82x = 52,940,204.50
  5. Step 5: Solve for x
    x = 52,940,204.50/11,411.82
  6. Step 6: Final answer
    x = 4,639.07

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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.