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Finding the Fourth Proportional to 11,666.82, 16,100.43 and 6,953.84

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Solution

The fourth proportional to 11,666.82, 16,100.43 and 6,953.84 is: 9,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.82 : 16,100.43 = 6,953.84 : x
  2. Step 2: Convert to fraction form
    11,666.82/16,100.43 = 6,953.84/x
  3. Step 3: Cross multiply
    11,666.82x = 16,100.43 × 6,953.84
  4. Step 4: Simplify right side
    11,666.82x = 111,959,814.15
  5. Step 5: Solve for x
    x = 111,959,814.15/11,666.82
  6. Step 6: Final answer
    x = 9,596.43

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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.