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Finding the Fourth Proportional to 7,158.42, 10,737.69 and 2,227.86

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Solution

The fourth proportional to 7,158.42, 10,737.69 and 2,227.86 is: 3,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.42 : 10,737.69 = 2,227.86 : x
  2. Step 2: Convert to fraction form
    7,158.42/10,737.69 = 2,227.86/x
  3. Step 3: Cross multiply
    7,158.42x = 10,737.69 × 2,227.86
  4. Step 4: Simplify right side
    7,158.42x = 23,922,070.04
  5. Step 5: Solve for x
    x = 23,922,070.04/7,158.42
  6. Step 6: Final answer
    x = 3,341.81

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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.