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Finding the Fourth Proportional to 11,027.88, 16,514.10 and 8,564.42

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Solution

The fourth proportional to 11,027.88, 16,514.10 and 8,564.42 is: 12,825.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.88 : 16,514.10 = 8,564.42 : x
  2. Step 2: Convert to fraction form
    11,027.88/16,514.10 = 8,564.42/x
  3. Step 3: Cross multiply
    11,027.88x = 16,514.10 × 8,564.42
  4. Step 4: Simplify right side
    11,027.88x = 141,433,605.75
  5. Step 5: Solve for x
    x = 141,433,605.75/11,027.88
  6. Step 6: Final answer
    x = 12,825.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.