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Finding the Fourth Proportional to 11,443.14, 15,786.90 and 6,963.30

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Solution

The fourth proportional to 11,443.14, 15,786.90 and 6,963.30 is: 9,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.14 : 15,786.90 = 6,963.30 : x
  2. Step 2: Convert to fraction form
    11,443.14/15,786.90 = 6,963.30/x
  3. Step 3: Cross multiply
    11,443.14x = 15,786.90 × 6,963.30
  4. Step 4: Simplify right side
    11,443.14x = 109,928,920.77
  5. Step 5: Solve for x
    x = 109,928,920.77/11,443.14
  6. Step 6: Final answer
    x = 9,606.53

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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.