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Finding the Fourth Proportional to 7,381.77, 11,074.62 and 3,222.11

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Solution

The fourth proportional to 7,381.77, 11,074.62 and 3,222.11 is: 4,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.77 : 11,074.62 = 3,222.11 : x
  2. Step 2: Convert to fraction form
    7,381.77/11,074.62 = 3,222.11/x
  3. Step 3: Cross multiply
    7,381.77x = 11,074.62 × 3,222.11
  4. Step 4: Simplify right side
    7,381.77x = 35,683,643.85
  5. Step 5: Solve for x
    x = 35,683,643.85/7,381.77
  6. Step 6: Final answer
    x = 4,834.02

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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.