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Finding the Fourth Proportional to 11,446.78, 17,167.48 and 3,124.82

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Solution

The fourth proportional to 11,446.78, 17,167.48 and 3,124.82 is: 4,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.78 : 17,167.48 = 3,124.82 : x
  2. Step 2: Convert to fraction form
    11,446.78/17,167.48 = 3,124.82/x
  3. Step 3: Cross multiply
    11,446.78x = 17,167.48 × 3,124.82
  4. Step 4: Simplify right side
    11,446.78x = 53,645,284.85
  5. Step 5: Solve for x
    x = 53,645,284.85/11,446.78
  6. Step 6: Final answer
    x = 4,686.50

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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.