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Finding the Fourth Proportional to 7,414.96, 11,122.08 and 4,125.96

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Solution

The fourth proportional to 7,414.96, 11,122.08 and 4,125.96 is: 6,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.96 : 11,122.08 = 4,125.96 : x
  2. Step 2: Convert to fraction form
    7,414.96/11,122.08 = 4,125.96/x
  3. Step 3: Cross multiply
    7,414.96x = 11,122.08 × 4,125.96
  4. Step 4: Simplify right side
    7,414.96x = 45,889,257.20
  5. Step 5: Solve for x
    x = 45,889,257.20/7,414.96
  6. Step 6: Final answer
    x = 6,188.74

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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.