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Finding the Fourth Proportional to 11,857.50, 16,370.96 and 7,610.38

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Solution

The fourth proportional to 11,857.50, 16,370.96 and 7,610.38 is: 10,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.50 : 16,370.96 = 7,610.38 : x
  2. Step 2: Convert to fraction form
    11,857.50/16,370.96 = 7,610.38/x
  3. Step 3: Cross multiply
    11,857.50x = 16,370.96 × 7,610.38
  4. Step 4: Simplify right side
    11,857.50x = 124,589,226.56
  5. Step 5: Solve for x
    x = 124,589,226.56/11,857.50
  6. Step 6: Final answer
    x = 10,507.21

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Why These Related Problems?

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