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Finding the Fourth Proportional to 7,188.16, 10,782.24 and 3,280.96

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Solution

The fourth proportional to 7,188.16, 10,782.24 and 3,280.96 is: 4,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.16 : 10,782.24 = 3,280.96 : x
  2. Step 2: Convert to fraction form
    7,188.16/10,782.24 = 3,280.96/x
  3. Step 3: Cross multiply
    7,188.16x = 10,782.24 × 3,280.96
  4. Step 4: Simplify right side
    7,188.16x = 35,376,098.15
  5. Step 5: Solve for x
    x = 35,376,098.15/7,188.16
  6. Step 6: Final answer
    x = 4,921.44

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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.