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Finding the Fourth Proportional to 7,157.49, 10,737.38 and 2,228.27

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Solution

The fourth proportional to 7,157.49, 10,737.38 and 2,228.27 is: 3,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.49 : 10,737.38 = 2,228.27 : x
  2. Step 2: Convert to fraction form
    7,157.49/10,737.38 = 2,228.27/x
  3. Step 3: Cross multiply
    7,157.49x = 10,737.38 × 2,228.27
  4. Step 4: Simplify right side
    7,157.49x = 23,925,725.26
  5. Step 5: Solve for x
    x = 23,925,725.26/7,157.49
  6. Step 6: Final answer
    x = 3,342.76

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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.