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Finding the Fourth Proportional to 8,027.02, 11,077.04 and 4,490.24

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Solution

The fourth proportional to 8,027.02, 11,077.04 and 4,490.24 is: 6,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.02 : 11,077.04 = 4,490.24 : x
  2. Step 2: Convert to fraction form
    8,027.02/11,077.04 = 4,490.24/x
  3. Step 3: Cross multiply
    8,027.02x = 11,077.04 × 4,490.24
  4. Step 4: Simplify right side
    8,027.02x = 49,738,545.64
  5. Step 5: Solve for x
    x = 49,738,545.64/8,027.02
  6. Step 6: Final answer
    x = 6,196.39

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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.