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Finding the Fourth Proportional to 11,416.13, 15,754.85 and 6,939.15

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Solution

The fourth proportional to 11,416.13, 15,754.85 and 6,939.15 is: 9,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.13 : 15,754.85 = 6,939.15 : x
  2. Step 2: Convert to fraction form
    11,416.13/15,754.85 = 6,939.15/x
  3. Step 3: Cross multiply
    11,416.13x = 15,754.85 × 6,939.15
  4. Step 4: Simplify right side
    11,416.13x = 109,325,284.73
  5. Step 5: Solve for x
    x = 109,325,284.73/11,416.13
  6. Step 6: Final answer
    x = 9,576.39

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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.