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Finding the Fourth Proportional to 8,428.14, 12,644.64 and 3,496.86

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Solution

The fourth proportional to 8,428.14, 12,644.64 and 3,496.86 is: 5,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.14 : 12,644.64 = 3,496.86 : x
  2. Step 2: Convert to fraction form
    8,428.14/12,644.64 = 3,496.86/x
  3. Step 3: Cross multiply
    8,428.14x = 12,644.64 × 3,496.86
  4. Step 4: Simplify right side
    8,428.14x = 44,216,535.83
  5. Step 5: Solve for x
    x = 44,216,535.83/8,428.14
  6. Step 6: Final answer
    x = 5,246.30

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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.