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Finding the Fourth Proportional to 11,975.31, 16,525.22 and 6,939.14

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Solution

The fourth proportional to 11,975.31, 16,525.22 and 6,939.14 is: 9,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.31 : 16,525.22 = 6,939.14 : x
  2. Step 2: Convert to fraction form
    11,975.31/16,525.22 = 6,939.14/x
  3. Step 3: Cross multiply
    11,975.31x = 16,525.22 × 6,939.14
  4. Step 4: Simplify right side
    11,975.31x = 114,670,697.79
  5. Step 5: Solve for x
    x = 114,670,697.79/11,975.31
  6. Step 6: Final answer
    x = 9,575.59

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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.