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Finding the Fourth Proportional to 10,857.77, 16,243.61 and 6,841.20

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Solution

The fourth proportional to 10,857.77, 16,243.61 and 6,841.20 is: 10,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.77 : 16,243.61 = 6,841.20 : x
  2. Step 2: Convert to fraction form
    10,857.77/16,243.61 = 6,841.20/x
  3. Step 3: Cross multiply
    10,857.77x = 16,243.61 × 6,841.20
  4. Step 4: Simplify right side
    10,857.77x = 111,125,750.53
  5. Step 5: Solve for x
    x = 111,125,750.53/10,857.77
  6. Step 6: Final answer
    x = 10,234.68

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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.