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Finding the Fourth Proportional to 11,027.20, 15,200.04 and 8,665.28

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Solution

The fourth proportional to 11,027.20, 15,200.04 and 8,665.28 is: 11,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.20 : 15,200.04 = 8,665.28 : x
  2. Step 2: Convert to fraction form
    11,027.20/15,200.04 = 8,665.28/x
  3. Step 3: Cross multiply
    11,027.20x = 15,200.04 × 8,665.28
  4. Step 4: Simplify right side
    11,027.20x = 131,712,602.61
  5. Step 5: Solve for x
    x = 131,712,602.61/11,027.20
  6. Step 6: Final answer
    x = 11,944.34

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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.