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Finding the Fourth Proportional to 11,443.32, 15,789.50 and 6,964.07

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Solution

The fourth proportional to 11,443.32, 15,789.50 and 6,964.07 is: 9,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.32 : 15,789.50 = 6,964.07 : x
  2. Step 2: Convert to fraction form
    11,443.32/15,789.50 = 6,964.07/x
  3. Step 3: Cross multiply
    11,443.32x = 15,789.50 × 6,964.07
  4. Step 4: Simplify right side
    11,443.32x = 109,959,121.73
  5. Step 5: Solve for x
    x = 109,959,121.73/11,443.32
  6. Step 6: Final answer
    x = 9,609.02

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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.