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Finding the Fourth Proportional to 8,414.49, 12,624.36 and 3,486.45

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Solution

The fourth proportional to 8,414.49, 12,624.36 and 3,486.45 is: 5,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.49 : 12,624.36 = 3,486.45 : x
  2. Step 2: Convert to fraction form
    8,414.49/12,624.36 = 3,486.45/x
  3. Step 3: Cross multiply
    8,414.49x = 12,624.36 × 3,486.45
  4. Step 4: Simplify right side
    8,414.49x = 44,014,199.92
  5. Step 5: Solve for x
    x = 44,014,199.92/8,414.49
  6. Step 6: Final answer
    x = 5,230.76

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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.