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Finding the Fourth Proportional to 7,610.90, 11,414.16 and 2,930.54

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Solution

The fourth proportional to 7,610.90, 11,414.16 and 2,930.54 is: 4,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.90 : 11,414.16 = 2,930.54 : x
  2. Step 2: Convert to fraction form
    7,610.90/11,414.16 = 2,930.54/x
  3. Step 3: Cross multiply
    7,610.90x = 11,414.16 × 2,930.54
  4. Step 4: Simplify right side
    7,610.90x = 33,449,652.45
  5. Step 5: Solve for x
    x = 33,449,652.45/7,610.90
  6. Step 6: Final answer
    x = 4,394.97

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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.