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Finding the Fourth Proportional to 10,827.61, 14,942.18 and 6,351.44

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Solution

The fourth proportional to 10,827.61, 14,942.18 and 6,351.44 is: 8,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.61 : 14,942.18 = 6,351.44 : x
  2. Step 2: Convert to fraction form
    10,827.61/14,942.18 = 6,351.44/x
  3. Step 3: Cross multiply
    10,827.61x = 14,942.18 × 6,351.44
  4. Step 4: Simplify right side
    10,827.61x = 94,904,300.91
  5. Step 5: Solve for x
    x = 94,904,300.91/10,827.61
  6. Step 6: Final answer
    x = 8,765.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.