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Finding the Fourth Proportional to 11,705.54, 16,153.38 and 6,400.24

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Solution

The fourth proportional to 11,705.54, 16,153.38 and 6,400.24 is: 8,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.54 : 16,153.38 = 6,400.24 : x
  2. Step 2: Convert to fraction form
    11,705.54/16,153.38 = 6,400.24/x
  3. Step 3: Cross multiply
    11,705.54x = 16,153.38 × 6,400.24
  4. Step 4: Simplify right side
    11,705.54x = 103,385,468.43
  5. Step 5: Solve for x
    x = 103,385,468.43/11,705.54
  6. Step 6: Final answer
    x = 8,832.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.