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Finding the Fourth Proportional to 11,874.26, 16,385.92 and 6,496.98

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Solution

The fourth proportional to 11,874.26, 16,385.92 and 6,496.98 is: 8,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.26 : 16,385.92 = 6,496.98 : x
  2. Step 2: Convert to fraction form
    11,874.26/16,385.92 = 6,496.98/x
  3. Step 3: Cross multiply
    11,874.26x = 16,385.92 × 6,496.98
  4. Step 4: Simplify right side
    11,874.26x = 106,458,994.52
  5. Step 5: Solve for x
    x = 106,458,994.52/11,874.26
  6. Step 6: Final answer
    x = 8,965.53

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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.