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Finding the Fourth Proportional to 11,654.40, 16,081.68 and 6,616.80

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Solution

The fourth proportional to 11,654.40, 16,081.68 and 6,616.80 is: 9,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.40 : 16,081.68 = 6,616.80 : x
  2. Step 2: Convert to fraction form
    11,654.40/16,081.68 = 6,616.80/x
  3. Step 3: Cross multiply
    11,654.40x = 16,081.68 × 6,616.80
  4. Step 4: Simplify right side
    11,654.40x = 106,409,260.22
  5. Step 5: Solve for x
    x = 106,409,260.22/11,654.40
  6. Step 6: Final answer
    x = 9,130.39

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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.