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Finding the Fourth Proportional to 7,682.95, 11,524.69 and 3,004.05

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Solution

The fourth proportional to 7,682.95, 11,524.69 and 3,004.05 is: 4,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.95 : 11,524.69 = 3,004.05 : x
  2. Step 2: Convert to fraction form
    7,682.95/11,524.69 = 3,004.05/x
  3. Step 3: Cross multiply
    7,682.95x = 11,524.69 × 3,004.05
  4. Step 4: Simplify right side
    7,682.95x = 34,620,744.99
  5. Step 5: Solve for x
    x = 34,620,744.99/7,682.95
  6. Step 6: Final answer
    x = 4,506.18

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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.