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Finding the Fourth Proportional to 11,917.87, 16,447.10 and 7,201.24

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Solution

The fourth proportional to 11,917.87, 16,447.10 and 7,201.24 is: 9,937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.87 : 16,447.10 = 7,201.24 : x
  2. Step 2: Convert to fraction form
    11,917.87/16,447.10 = 7,201.24/x
  3. Step 3: Cross multiply
    11,917.87x = 16,447.10 × 7,201.24
  4. Step 4: Simplify right side
    11,917.87x = 118,439,514.40
  5. Step 5: Solve for x
    x = 118,439,514.40/11,917.87
  6. Step 6: Final answer
    x = 9,937.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.