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Finding the Fourth Proportional to 7,577.74, 11,369.85 and 3,682.18

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Solution

The fourth proportional to 7,577.74, 11,369.85 and 3,682.18 is: 5,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.74 : 11,369.85 = 3,682.18 : x
  2. Step 2: Convert to fraction form
    7,577.74/11,369.85 = 3,682.18/x
  3. Step 3: Cross multiply
    7,577.74x = 11,369.85 × 3,682.18
  4. Step 4: Simplify right side
    7,577.74x = 41,865,834.27
  5. Step 5: Solve for x
    x = 41,865,834.27/7,577.74
  6. Step 6: Final answer
    x = 5,524.84

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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.