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Finding the Fourth Proportional to 10,843.40, 16,284.30 and 8,384.20

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Solution

The fourth proportional to 10,843.40, 16,284.30 and 8,384.20 is: 12,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.40 : 16,284.30 = 8,384.20 : x
  2. Step 2: Convert to fraction form
    10,843.40/16,284.30 = 8,384.20/x
  3. Step 3: Cross multiply
    10,843.40x = 16,284.30 × 8,384.20
  4. Step 4: Simplify right side
    10,843.40x = 136,530,828.06
  5. Step 5: Solve for x
    x = 136,530,828.06/10,843.40
  6. Step 6: Final answer
    x = 12,591.15

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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.