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Finding the Fourth Proportional to 11,859.38, 16,364.52 and 6,553.48

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Solution

The fourth proportional to 11,859.38, 16,364.52 and 6,553.48 is: 9,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.38 : 16,364.52 = 6,553.48 : x
  2. Step 2: Convert to fraction form
    11,859.38/16,364.52 = 6,553.48/x
  3. Step 3: Cross multiply
    11,859.38x = 16,364.52 × 6,553.48
  4. Step 4: Simplify right side
    11,859.38x = 107,244,554.53
  5. Step 5: Solve for x
    x = 107,244,554.53/11,859.38
  6. Step 6: Final answer
    x = 9,043.02

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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.