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Finding the Fourth Proportional to 11,077, 15,286.05 and 6,041.26

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Solution

The fourth proportional to 11,077, 15,286.05 and 6,041.26 is: 8,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077 : 15,286.05 = 6,041.26 : x
  2. Step 2: Convert to fraction form
    11,077/15,286.05 = 6,041.26/x
  3. Step 3: Cross multiply
    11,077x = 15,286.05 × 6,041.26
  4. Step 4: Simplify right side
    11,077x = 92,347,002.42
  5. Step 5: Solve for x
    x = 92,347,002.42/11,077
  6. Step 6: Final answer
    x = 8,336.82

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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.