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Finding the Fourth Proportional to 11,691.36, 16,135.02 and 6,655.68

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Solution

The fourth proportional to 11,691.36, 16,135.02 and 6,655.68 is: 9,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.36 : 16,135.02 = 6,655.68 : x
  2. Step 2: Convert to fraction form
    11,691.36/16,135.02 = 6,655.68/x
  3. Step 3: Cross multiply
    11,691.36x = 16,135.02 × 6,655.68
  4. Step 4: Simplify right side
    11,691.36x = 107,389,529.91
  5. Step 5: Solve for x
    x = 107,389,529.91/11,691.36
  6. Step 6: Final answer
    x = 9,185.38

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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.