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Finding the Fourth Proportional to 10,827.46, 16,224.18 and 8,368.30

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Solution

The fourth proportional to 10,827.46, 16,224.18 and 8,368.30 is: 12,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.46 : 16,224.18 = 8,368.30 : x
  2. Step 2: Convert to fraction form
    10,827.46/16,224.18 = 8,368.30/x
  3. Step 3: Cross multiply
    10,827.46x = 16,224.18 × 8,368.30
  4. Step 4: Simplify right side
    10,827.46x = 135,768,805.49
  5. Step 5: Solve for x
    x = 135,768,805.49/10,827.46
  6. Step 6: Final answer
    x = 12,539.30

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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.