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Finding the Fourth Proportional to 11,822.46, 16,313.46 and 6,786.90

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Solution

The fourth proportional to 11,822.46, 16,313.46 and 6,786.90 is: 9,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.46 : 16,313.46 = 6,786.90 : x
  2. Step 2: Convert to fraction form
    11,822.46/16,313.46 = 6,786.90/x
  3. Step 3: Cross multiply
    11,822.46x = 16,313.46 × 6,786.90
  4. Step 4: Simplify right side
    11,822.46x = 110,717,821.67
  5. Step 5: Solve for x
    x = 110,717,821.67/11,822.46
  6. Step 6: Final answer
    x = 9,365.04

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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.