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Finding the Fourth Proportional to 11,705.90, 16,153.64 and 6,400.80

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Solution

The fourth proportional to 11,705.90, 16,153.64 and 6,400.80 is: 8,832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.90 : 16,153.64 = 6,400.80 : x
  2. Step 2: Convert to fraction form
    11,705.90/16,153.64 = 6,400.80/x
  3. Step 3: Cross multiply
    11,705.90x = 16,153.64 × 6,400.80
  4. Step 4: Simplify right side
    11,705.90x = 103,396,218.91
  5. Step 5: Solve for x
    x = 103,396,218.91/11,705.90
  6. Step 6: Final answer
    x = 8,832.83

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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.