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Finding the Fourth Proportional to 11,859.96, 16,365.90 and 6,554.96

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Solution

The fourth proportional to 11,859.96, 16,365.90 and 6,554.96 is: 9,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.96 : 16,365.90 = 6,554.96 : x
  2. Step 2: Convert to fraction form
    11,859.96/16,365.90 = 6,554.96/x
  3. Step 3: Cross multiply
    11,859.96x = 16,365.90 × 6,554.96
  4. Step 4: Simplify right side
    11,859.96x = 107,277,819.86
  5. Step 5: Solve for x
    x = 107,277,819.86/11,859.96
  6. Step 6: Final answer
    x = 9,045.38

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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.