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Finding the Fourth Proportional to 11,654.10, 16,073.16 and 7,169.82

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Solution

The fourth proportional to 11,654.10, 16,073.16 and 7,169.82 is: 9,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.10 : 16,073.16 = 7,169.82 : x
  2. Step 2: Convert to fraction form
    11,654.10/16,073.16 = 7,169.82/x
  3. Step 3: Cross multiply
    11,654.10x = 16,073.16 × 7,169.82
  4. Step 4: Simplify right side
    11,654.10x = 115,241,664.03
  5. Step 5: Solve for x
    x = 115,241,664.03/11,654.10
  6. Step 6: Final answer
    x = 9,888.51

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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.