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Finding the Fourth Proportional to 8,416.28, 12,624.94 and 3,486.31

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Solution

The fourth proportional to 8,416.28, 12,624.94 and 3,486.31 is: 5,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.28 : 12,624.94 = 3,486.31 : x
  2. Step 2: Convert to fraction form
    8,416.28/12,624.94 = 3,486.31/x
  3. Step 3: Cross multiply
    8,416.28x = 12,624.94 × 3,486.31
  4. Step 4: Simplify right side
    8,416.28x = 44,014,427.37
  5. Step 5: Solve for x
    x = 44,014,427.37/8,416.28
  6. Step 6: Final answer
    x = 5,229.68

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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.