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Finding the Fourth Proportional to 11,690.54, 16,131.80 and 6,654.38

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Solution

The fourth proportional to 11,690.54, 16,131.80 and 6,654.38 is: 9,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.54 : 16,131.80 = 6,654.38 : x
  2. Step 2: Convert to fraction form
    11,690.54/16,131.80 = 6,654.38/x
  3. Step 3: Cross multiply
    11,690.54x = 16,131.80 × 6,654.38
  4. Step 4: Simplify right side
    11,690.54x = 107,347,127.28
  5. Step 5: Solve for x
    x = 107,347,127.28/11,690.54
  6. Step 6: Final answer
    x = 9,182.39

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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.