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Finding the Fourth Proportional to 7,682.10, 11,521.38 and 3,002.22

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Solution

The fourth proportional to 7,682.10, 11,521.38 and 3,002.22 is: 4,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.10 : 11,521.38 = 3,002.22 : x
  2. Step 2: Convert to fraction form
    7,682.10/11,521.38 = 3,002.22/x
  3. Step 3: Cross multiply
    7,682.10x = 11,521.38 × 3,002.22
  4. Step 4: Simplify right side
    7,682.10x = 34,589,717.46
  5. Step 5: Solve for x
    x = 34,589,717.46/7,682.10
  6. Step 6: Final answer
    x = 4,502.64

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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.