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Finding the Fourth Proportional to 7,679.31, 11,518.05 and 2,414.10

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Solution

The fourth proportional to 7,679.31, 11,518.05 and 2,414.10 is: 3,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.31 : 11,518.05 = 2,414.10 : x
  2. Step 2: Convert to fraction form
    7,679.31/11,518.05 = 2,414.10/x
  3. Step 3: Cross multiply
    7,679.31x = 11,518.05 × 2,414.10
  4. Step 4: Simplify right side
    7,679.31x = 27,805,724.51
  5. Step 5: Solve for x
    x = 27,805,724.51/7,679.31
  6. Step 6: Final answer
    x = 3,620.86

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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.