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Finding the Fourth Proportional to 11,777.93, 16,253.46 and 6,400.34

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Solution

The fourth proportional to 11,777.93, 16,253.46 and 6,400.34 is: 8,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.93 : 16,253.46 = 6,400.34 : x
  2. Step 2: Convert to fraction form
    11,777.93/16,253.46 = 6,400.34/x
  3. Step 3: Cross multiply
    11,777.93x = 16,253.46 × 6,400.34
  4. Step 4: Simplify right side
    11,777.93x = 104,027,588.91
  5. Step 5: Solve for x
    x = 104,027,588.91/11,777.93
  6. Step 6: Final answer
    x = 8,832.42

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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.