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Finding the Fourth Proportional to 7,462.72, 11,184.85 and 3,766.01

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Solution

The fourth proportional to 7,462.72, 11,184.85 and 3,766.01 is: 5,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.72 : 11,184.85 = 3,766.01 : x
  2. Step 2: Convert to fraction form
    7,462.72/11,184.85 = 3,766.01/x
  3. Step 3: Cross multiply
    7,462.72x = 11,184.85 × 3,766.01
  4. Step 4: Simplify right side
    7,462.72x = 42,122,205.73
  5. Step 5: Solve for x
    x = 42,122,205.73/7,462.72
  6. Step 6: Final answer
    x = 5,644.35

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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.