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Finding the Fourth Proportional to 7,157.50, 10,735.88 and 2,226.76

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Solution

The fourth proportional to 7,157.50, 10,735.88 and 2,226.76 is: 3,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.50 : 10,735.88 = 2,226.76 : x
  2. Step 2: Convert to fraction form
    7,157.50/10,735.88 = 2,226.76/x
  3. Step 3: Cross multiply
    7,157.50x = 10,735.88 × 2,226.76
  4. Step 4: Simplify right side
    7,157.50x = 23,906,228.15
  5. Step 5: Solve for x
    x = 23,906,228.15/7,157.50
  6. Step 6: Final answer
    x = 3,340.02

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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.