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Finding the Fourth Proportional to 11,717.99, 16,178.84 and 8,693.90

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Solution

The fourth proportional to 11,717.99, 16,178.84 and 8,693.90 is: 12,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.99 : 16,178.84 = 8,693.90 : x
  2. Step 2: Convert to fraction form
    11,717.99/16,178.84 = 8,693.90/x
  3. Step 3: Cross multiply
    11,717.99x = 16,178.84 × 8,693.90
  4. Step 4: Simplify right side
    11,717.99x = 140,657,092.71
  5. Step 5: Solve for x
    x = 140,657,092.71/11,717.99
  6. Step 6: Final answer
    x = 12,003.52

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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.