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Finding the Fourth Proportional to 11,665.12, 16,096.98 and 6,359.80

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Solution

The fourth proportional to 11,665.12, 16,096.98 and 6,359.80 is: 8,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.12 : 16,096.98 = 6,359.80 : x
  2. Step 2: Convert to fraction form
    11,665.12/16,096.98 = 6,359.80/x
  3. Step 3: Cross multiply
    11,665.12x = 16,096.98 × 6,359.80
  4. Step 4: Simplify right side
    11,665.12x = 102,373,573.40
  5. Step 5: Solve for x
    x = 102,373,573.40/11,665.12
  6. Step 6: Final answer
    x = 8,776.04

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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.