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Finding the Fourth Proportional to 7,964.90, 10,991.84 and 4,380.13

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Solution

The fourth proportional to 7,964.90, 10,991.84 and 4,380.13 is: 6,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.90 : 10,991.84 = 4,380.13 : x
  2. Step 2: Convert to fraction form
    7,964.90/10,991.84 = 4,380.13/x
  3. Step 3: Cross multiply
    7,964.90x = 10,991.84 × 4,380.13
  4. Step 4: Simplify right side
    7,964.90x = 48,145,688.14
  5. Step 5: Solve for x
    x = 48,145,688.14/7,964.90
  6. Step 6: Final answer
    x = 6,044.73

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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.