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Finding the Fourth Proportional to 11,705.34, 16,153.38 and 6,400.20

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Solution

The fourth proportional to 11,705.34, 16,153.38 and 6,400.20 is: 8,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.34 : 16,153.38 = 6,400.20 : x
  2. Step 2: Convert to fraction form
    11,705.34/16,153.38 = 6,400.20/x
  3. Step 3: Cross multiply
    11,705.34x = 16,153.38 × 6,400.20
  4. Step 4: Simplify right side
    11,705.34x = 103,384,923.25
  5. Step 5: Solve for x
    x = 103,384,923.25/11,705.34
  6. Step 6: Final answer
    x = 8,832.28

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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.