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Finding the Fourth Proportional to 11,108.14, 16,643.75 and 7,814.31

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Solution

The fourth proportional to 11,108.14, 16,643.75 and 7,814.31 is: 11,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,108.14 : 16,643.75 = 7,814.31 : x
  2. Step 2: Convert to fraction form
    11,108.14/16,643.75 = 7,814.31/x
  3. Step 3: Cross multiply
    11,108.14x = 16,643.75 × 7,814.31
  4. Step 4: Simplify right side
    11,108.14x = 130,059,456.73
  5. Step 5: Solve for x
    x = 130,059,456.73/11,108.14
  6. Step 6: Final answer
    x = 11,708.48

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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.