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Finding the Fourth Proportional to 11,566.14, 17,348.94 and 2,801.04

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Solution

The fourth proportional to 11,566.14, 17,348.94 and 2,801.04 is: 4,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.14 : 17,348.94 = 2,801.04 : x
  2. Step 2: Convert to fraction form
    11,566.14/17,348.94 = 2,801.04/x
  3. Step 3: Cross multiply
    11,566.14x = 17,348.94 × 2,801.04
  4. Step 4: Simplify right side
    11,566.14x = 48,595,074.90
  5. Step 5: Solve for x
    x = 48,595,074.90/11,566.14
  6. Step 6: Final answer
    x = 4,201.49

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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.