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Finding the Fourth Proportional to 11,261.48, 16,873.98 and 6,865.64

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Solution

The fourth proportional to 11,261.48, 16,873.98 and 6,865.64 is: 10,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.48 : 16,873.98 = 6,865.64 : x
  2. Step 2: Convert to fraction form
    11,261.48/16,873.98 = 6,865.64/x
  3. Step 3: Cross multiply
    11,261.48x = 16,873.98 × 6,865.64
  4. Step 4: Simplify right side
    11,261.48x = 115,850,672.05
  5. Step 5: Solve for x
    x = 115,850,672.05/11,261.48
  6. Step 6: Final answer
    x = 10,287.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.