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Finding the Fourth Proportional to 7,964.66, 11,952.71 and 2,967.72

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Solution

The fourth proportional to 7,964.66, 11,952.71 and 2,967.72 is: 4,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.66 : 11,952.71 = 2,967.72 : x
  2. Step 2: Convert to fraction form
    7,964.66/11,952.71 = 2,967.72/x
  3. Step 3: Cross multiply
    7,964.66x = 11,952.71 × 2,967.72
  4. Step 4: Simplify right side
    7,964.66x = 35,472,331.92
  5. Step 5: Solve for x
    x = 35,472,331.92/7,964.66
  6. Step 6: Final answer
    x = 4,453.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.