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Finding the Fourth Proportional to 11,867.77, 16,377.96 and 7,676.02

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Solution

The fourth proportional to 11,867.77, 16,377.96 and 7,676.02 is: 10,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.77 : 16,377.96 = 7,676.02 : x
  2. Step 2: Convert to fraction form
    11,867.77/16,377.96 = 7,676.02/x
  3. Step 3: Cross multiply
    11,867.77x = 16,377.96 × 7,676.02
  4. Step 4: Simplify right side
    11,867.77x = 125,717,548.52
  5. Step 5: Solve for x
    x = 125,717,548.52/11,867.77
  6. Step 6: Final answer
    x = 10,593.19

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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.