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Finding the Fourth Proportional to 10,295.02, 14,201.89 and 6,511.80

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Solution

The fourth proportional to 10,295.02, 14,201.89 and 6,511.80 is: 8,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.02 : 14,201.89 = 6,511.80 : x
  2. Step 2: Convert to fraction form
    10,295.02/14,201.89 = 6,511.80/x
  3. Step 3: Cross multiply
    10,295.02x = 14,201.89 × 6,511.80
  4. Step 4: Simplify right side
    10,295.02x = 92,479,867.30
  5. Step 5: Solve for x
    x = 92,479,867.30/10,295.02
  6. Step 6: Final answer
    x = 8,982.97

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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.