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Finding the Fourth Proportional to 7,682.95, 11,515.31 and 3,291.13

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Solution

The fourth proportional to 7,682.95, 11,515.31 and 3,291.13 is: 4,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.95 : 11,515.31 = 3,291.13 : x
  2. Step 2: Convert to fraction form
    7,682.95/11,515.31 = 3,291.13/x
  3. Step 3: Cross multiply
    7,682.95x = 11,515.31 × 3,291.13
  4. Step 4: Simplify right side
    7,682.95x = 37,898,336.96
  5. Step 5: Solve for x
    x = 37,898,336.96/7,682.95
  6. Step 6: Final answer
    x = 4,932.79

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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.