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Finding the Fourth Proportional to 10,414.59, 15,623.09 and 3,394.32

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Solution

The fourth proportional to 10,414.59, 15,623.09 and 3,394.32 is: 5,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.59 : 15,623.09 = 3,394.32 : x
  2. Step 2: Convert to fraction form
    10,414.59/15,623.09 = 3,394.32/x
  3. Step 3: Cross multiply
    10,414.59x = 15,623.09 × 3,394.32
  4. Step 4: Simplify right side
    10,414.59x = 53,029,766.85
  5. Step 5: Solve for x
    x = 53,029,766.85/10,414.59
  6. Step 6: Final answer
    x = 5,091.87

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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.