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Finding the Fourth Proportional to 7,947.36, 10,964.82 and 5,295.24

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Solution

The fourth proportional to 7,947.36, 10,964.82 and 5,295.24 is: 7,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.36 : 10,964.82 = 5,295.24 : x
  2. Step 2: Convert to fraction form
    7,947.36/10,964.82 = 5,295.24/x
  3. Step 3: Cross multiply
    7,947.36x = 10,964.82 × 5,295.24
  4. Step 4: Simplify right side
    7,947.36x = 58,061,353.46
  5. Step 5: Solve for x
    x = 58,061,353.46/7,947.36
  6. Step 6: Final answer
    x = 7,305.74

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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.