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Finding the Fourth Proportional to 7,463.90, 11,194.49 and 2,782.85

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Solution

The fourth proportional to 7,463.90, 11,194.49 and 2,782.85 is: 4,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.90 : 11,194.49 = 2,782.85 : x
  2. Step 2: Convert to fraction form
    7,463.90/11,194.49 = 2,782.85/x
  3. Step 3: Cross multiply
    7,463.90x = 11,194.49 × 2,782.85
  4. Step 4: Simplify right side
    7,463.90x = 31,152,516.61
  5. Step 5: Solve for x
    x = 31,152,516.61/7,463.90
  6. Step 6: Final answer
    x = 4,173.76

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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.