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Finding the Fourth Proportional to 11,786.34, 16,265.12 and 6,752.19

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Solution

The fourth proportional to 11,786.34, 16,265.12 and 6,752.19 is: 9,318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.34 : 16,265.12 = 6,752.19 : x
  2. Step 2: Convert to fraction form
    11,786.34/16,265.12 = 6,752.19/x
  3. Step 3: Cross multiply
    11,786.34x = 16,265.12 × 6,752.19
  4. Step 4: Simplify right side
    11,786.34x = 109,825,099.29
  5. Step 5: Solve for x
    x = 109,825,099.29/11,786.34
  6. Step 6: Final answer
    x = 9,318.00

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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.