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Finding the Fourth Proportional to 7,463.20, 11,202.90 and 4,182.70

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Solution

The fourth proportional to 7,463.20, 11,202.90 and 4,182.70 is: 6,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.20 : 11,202.90 = 4,182.70 : x
  2. Step 2: Convert to fraction form
    7,463.20/11,202.90 = 4,182.70/x
  3. Step 3: Cross multiply
    7,463.20x = 11,202.90 × 4,182.70
  4. Step 4: Simplify right side
    7,463.20x = 46,858,369.83
  5. Step 5: Solve for x
    x = 46,858,369.83/7,463.20
  6. Step 6: Final answer
    x = 6,278.59

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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.