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Finding the Fourth Proportional to 11,201.88, 15,458.10 and 6,166.43

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Solution

The fourth proportional to 11,201.88, 15,458.10 and 6,166.43 is: 8,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.88 : 15,458.10 = 6,166.43 : x
  2. Step 2: Convert to fraction form
    11,201.88/15,458.10 = 6,166.43/x
  3. Step 3: Cross multiply
    11,201.88x = 15,458.10 × 6,166.43
  4. Step 4: Simplify right side
    11,201.88x = 95,321,292.49
  5. Step 5: Solve for x
    x = 95,321,292.49/11,201.88
  6. Step 6: Final answer
    x = 8,509.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.