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Finding the Fourth Proportional to 11,027.76, 15,214.86 and 6,311.13

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Solution

The fourth proportional to 11,027.76, 15,214.86 and 6,311.13 is: 8,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.76 : 15,214.86 = 6,311.13 : x
  2. Step 2: Convert to fraction form
    11,027.76/15,214.86 = 6,311.13/x
  3. Step 3: Cross multiply
    11,027.76x = 15,214.86 × 6,311.13
  4. Step 4: Simplify right side
    11,027.76x = 96,022,959.39
  5. Step 5: Solve for x
    x = 96,022,959.39/11,027.76
  6. Step 6: Final answer
    x = 8,707.39

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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.