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Finding the Fourth Proportional to 7,223.10, 10,834.65 and 3,942.60

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Solution

The fourth proportional to 7,223.10, 10,834.65 and 3,942.60 is: 5,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.10 : 10,834.65 = 3,942.60 : x
  2. Step 2: Convert to fraction form
    7,223.10/10,834.65 = 3,942.60/x
  3. Step 3: Cross multiply
    7,223.10x = 10,834.65 × 3,942.60
  4. Step 4: Simplify right side
    7,223.10x = 42,716,691.09
  5. Step 5: Solve for x
    x = 42,716,691.09/7,223.10
  6. Step 6: Final answer
    x = 5,913.90

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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.