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Finding the Fourth Proportional to 7,964.60, 10,991.16 and 4,427.72

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Solution

The fourth proportional to 7,964.60, 10,991.16 and 4,427.72 is: 6,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.60 : 10,991.16 = 4,427.72 : x
  2. Step 2: Convert to fraction form
    7,964.60/10,991.16 = 4,427.72/x
  3. Step 3: Cross multiply
    7,964.60x = 10,991.16 × 4,427.72
  4. Step 4: Simplify right side
    7,964.60x = 48,665,778.96
  5. Step 5: Solve for x
    x = 48,665,778.96/7,964.60
  6. Step 6: Final answer
    x = 6,110.26

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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.