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Finding the Fourth Proportional to 7,472.12, 10,311.41 and 5,233.17

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Solution

The fourth proportional to 7,472.12, 10,311.41 and 5,233.17 is: 7,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.12 : 10,311.41 = 5,233.17 : x
  2. Step 2: Convert to fraction form
    7,472.12/10,311.41 = 5,233.17/x
  3. Step 3: Cross multiply
    7,472.12x = 10,311.41 × 5,233.17
  4. Step 4: Simplify right side
    7,472.12x = 53,961,374.55
  5. Step 5: Solve for x
    x = 53,961,374.55/7,472.12
  6. Step 6: Final answer
    x = 7,221.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.