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Finding the Fourth Proportional to 7,280.53, 10,922.42 and 2,086

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Solution

The fourth proportional to 7,280.53, 10,922.42 and 2,086 is: 3,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.53 : 10,922.42 = 2,086 : x
  2. Step 2: Convert to fraction form
    7,280.53/10,922.42 = 2,086/x
  3. Step 3: Cross multiply
    7,280.53x = 10,922.42 × 2,086
  4. Step 4: Simplify right side
    7,280.53x = 22,784,157.69
  5. Step 5: Solve for x
    x = 22,784,157.69/7,280.53
  6. Step 6: Final answer
    x = 3,129.46

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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.