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Finding the Fourth Proportional to 11,713.77, 16,168.05 and 8,128.98

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Solution

The fourth proportional to 11,713.77, 16,168.05 and 8,128.98 is: 11,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.77 : 16,168.05 = 8,128.98 : x
  2. Step 2: Convert to fraction form
    11,713.77/16,168.05 = 8,128.98/x
  3. Step 3: Cross multiply
    11,713.77x = 16,168.05 × 8,128.98
  4. Step 4: Simplify right side
    11,713.77x = 131,429,755.09
  5. Step 5: Solve for x
    x = 131,429,755.09/11,713.77
  6. Step 6: Final answer
    x = 11,220.11

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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.