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Finding the Fourth Proportional to 11,897.35, 16,418.12 and 6,861.78

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Solution

The fourth proportional to 11,897.35, 16,418.12 and 6,861.78 is: 9,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.35 : 16,418.12 = 6,861.78 : x
  2. Step 2: Convert to fraction form
    11,897.35/16,418.12 = 6,861.78/x
  3. Step 3: Cross multiply
    11,897.35x = 16,418.12 × 6,861.78
  4. Step 4: Simplify right side
    11,897.35x = 112,657,493.14
  5. Step 5: Solve for x
    x = 112,657,493.14/11,897.35
  6. Step 6: Final answer
    x = 9,469.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.