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Finding the Fourth Proportional to 11,705.14, 16,153.09 and 6,399.96

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Solution

The fourth proportional to 11,705.14, 16,153.09 and 6,399.96 is: 8,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.14 : 16,153.09 = 6,399.96 : x
  2. Step 2: Convert to fraction form
    11,705.14/16,153.09 = 6,399.96/x
  3. Step 3: Cross multiply
    11,705.14x = 16,153.09 × 6,399.96
  4. Step 4: Simplify right side
    11,705.14x = 103,379,089.30
  5. Step 5: Solve for x
    x = 103,379,089.30/11,705.14
  6. Step 6: Final answer
    x = 8,831.94

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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.