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Finding the Fourth Proportional to 7,114.69, 10,674.20 and 2,956.62

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Solution

The fourth proportional to 7,114.69, 10,674.20 and 2,956.62 is: 4,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.69 : 10,674.20 = 2,956.62 : x
  2. Step 2: Convert to fraction form
    7,114.69/10,674.20 = 2,956.62/x
  3. Step 3: Cross multiply
    7,114.69x = 10,674.20 × 2,956.62
  4. Step 4: Simplify right side
    7,114.69x = 31,559,553.20
  5. Step 5: Solve for x
    x = 31,559,553.20/7,114.69
  6. Step 6: Final answer
    x = 4,435.83

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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.