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Finding the Fourth Proportional to 11,758.98, 16,228.17 and 8,220.90

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Solution

The fourth proportional to 11,758.98, 16,228.17 and 8,220.90 is: 11,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.98 : 16,228.17 = 8,220.90 : x
  2. Step 2: Convert to fraction form
    11,758.98/16,228.17 = 8,220.90/x
  3. Step 3: Cross multiply
    11,758.98x = 16,228.17 × 8,220.90
  4. Step 4: Simplify right side
    11,758.98x = 133,410,162.75
  5. Step 5: Solve for x
    x = 133,410,162.75/11,758.98
  6. Step 6: Final answer
    x = 11,345.39

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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.