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Finding the Fourth Proportional to 11,444.08, 17,185.72 and 7,027.64

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Solution

The fourth proportional to 11,444.08, 17,185.72 and 7,027.64 is: 10,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.08 : 17,185.72 = 7,027.64 : x
  2. Step 2: Convert to fraction form
    11,444.08/17,185.72 = 7,027.64/x
  3. Step 3: Cross multiply
    11,444.08x = 17,185.72 × 7,027.64
  4. Step 4: Simplify right side
    11,444.08x = 120,775,053.30
  5. Step 5: Solve for x
    x = 120,775,053.30/11,444.08
  6. Step 6: Final answer
    x = 10,553.50

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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.