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Finding the Fourth Proportional to 12,118.45, 16,728.12 and 8,083.81

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Solution

The fourth proportional to 12,118.45, 16,728.12 and 8,083.81 is: 11,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.45 : 16,728.12 = 8,083.81 : x
  2. Step 2: Convert to fraction form
    12,118.45/16,728.12 = 8,083.81/x
  3. Step 3: Cross multiply
    12,118.45x = 16,728.12 × 8,083.81
  4. Step 4: Simplify right side
    12,118.45x = 135,226,943.74
  5. Step 5: Solve for x
    x = 135,226,943.74/12,118.45
  6. Step 6: Final answer
    x = 11,158.77

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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.