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Finding the Fourth Proportional to 11,719.50, 16,174.83 and 6,754.38

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Solution

The fourth proportional to 11,719.50, 16,174.83 and 6,754.38 is: 9,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.50 : 16,174.83 = 6,754.38 : x
  2. Step 2: Convert to fraction form
    11,719.50/16,174.83 = 6,754.38/x
  3. Step 3: Cross multiply
    11,719.50x = 16,174.83 × 6,754.38
  4. Step 4: Simplify right side
    11,719.50x = 109,250,948.26
  5. Step 5: Solve for x
    x = 109,250,948.26/11,719.50
  6. Step 6: Final answer
    x = 9,322.15

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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.