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Finding the Fourth Proportional to 11,605.02, 16,014.96 and 6,299.86

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Solution

The fourth proportional to 11,605.02, 16,014.96 and 6,299.86 is: 8,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.02 : 16,014.96 = 6,299.86 : x
  2. Step 2: Convert to fraction form
    11,605.02/16,014.96 = 6,299.86/x
  3. Step 3: Cross multiply
    11,605.02x = 16,014.96 × 6,299.86
  4. Step 4: Simplify right side
    11,605.02x = 100,892,005.91
  5. Step 5: Solve for x
    x = 100,892,005.91/11,605.02
  6. Step 6: Final answer
    x = 8,693.82

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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.