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Finding the Fourth Proportional to 10,822.92, 14,936.02 and 6,285.27

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Solution

The fourth proportional to 10,822.92, 14,936.02 and 6,285.27 is: 8,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.92 : 14,936.02 = 6,285.27 : x
  2. Step 2: Convert to fraction form
    10,822.92/14,936.02 = 6,285.27/x
  3. Step 3: Cross multiply
    10,822.92x = 14,936.02 × 6,285.27
  4. Step 4: Simplify right side
    10,822.92x = 93,876,902.71
  5. Step 5: Solve for x
    x = 93,876,902.71/10,822.92
  6. Step 6: Final answer
    x = 8,673.90

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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.