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Finding the Fourth Proportional to 11,873.20, 16,385.94 and 6,568.50

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Solution

The fourth proportional to 11,873.20, 16,385.94 and 6,568.50 is: 9,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.20 : 16,385.94 = 6,568.50 : x
  2. Step 2: Convert to fraction form
    11,873.20/16,385.94 = 6,568.50/x
  3. Step 3: Cross multiply
    11,873.20x = 16,385.94 × 6,568.50
  4. Step 4: Simplify right side
    11,873.20x = 107,631,046.89
  5. Step 5: Solve for x
    x = 107,631,046.89/11,873.20
  6. Step 6: Final answer
    x = 9,065.04

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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.