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Finding the Fourth Proportional to 7,227.40, 10,824.90 and 4,311.40

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Solution

The fourth proportional to 7,227.40, 10,824.90 and 4,311.40 is: 6,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.40 : 10,824.90 = 4,311.40 : x
  2. Step 2: Convert to fraction form
    7,227.40/10,824.90 = 4,311.40/x
  3. Step 3: Cross multiply
    7,227.40x = 10,824.90 × 4,311.40
  4. Step 4: Simplify right side
    7,227.40x = 46,670,473.86
  5. Step 5: Solve for x
    x = 46,670,473.86/7,227.40
  6. Step 6: Final answer
    x = 6,457.44

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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.