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Finding the Fourth Proportional to 11,709.82, 16,170.39 and 7,525.42

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Solution

The fourth proportional to 11,709.82, 16,170.39 and 7,525.42 is: 10,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.82 : 16,170.39 = 7,525.42 : x
  2. Step 2: Convert to fraction form
    11,709.82/16,170.39 = 7,525.42/x
  3. Step 3: Cross multiply
    11,709.82x = 16,170.39 × 7,525.42
  4. Step 4: Simplify right side
    11,709.82x = 121,688,976.31
  5. Step 5: Solve for x
    x = 121,688,976.31/11,709.82
  6. Step 6: Final answer
    x = 10,392.04

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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.