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Finding the Fourth Proportional to 8,414.36, 12,611.82 and 4,905.56

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Solution

The fourth proportional to 8,414.36, 12,611.82 and 4,905.56 is: 7,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.36 : 12,611.82 = 4,905.56 : x
  2. Step 2: Convert to fraction form
    8,414.36/12,611.82 = 4,905.56/x
  3. Step 3: Cross multiply
    8,414.36x = 12,611.82 × 4,905.56
  4. Step 4: Simplify right side
    8,414.36x = 61,868,039.72
  5. Step 5: Solve for x
    x = 61,868,039.72/8,414.36
  6. Step 6: Final answer
    x = 7,352.67

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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.