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Finding the Fourth Proportional to 11,262.42, 16,893.18 and 3,471

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Solution

The fourth proportional to 11,262.42, 16,893.18 and 3,471 is: 5,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.42 : 16,893.18 = 3,471 : x
  2. Step 2: Convert to fraction form
    11,262.42/16,893.18 = 3,471/x
  3. Step 3: Cross multiply
    11,262.42x = 16,893.18 × 3,471
  4. Step 4: Simplify right side
    11,262.42x = 58,636,227.78
  5. Step 5: Solve for x
    x = 58,636,227.78/11,262.42
  6. Step 6: Final answer
    x = 5,206.36

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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.