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Finding the Fourth Proportional to 10,168.75, 14,032.10 and 6,189.42

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Solution

The fourth proportional to 10,168.75, 14,032.10 and 6,189.42 is: 8,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.75 : 14,032.10 = 6,189.42 : x
  2. Step 2: Convert to fraction form
    10,168.75/14,032.10 = 6,189.42/x
  3. Step 3: Cross multiply
    10,168.75x = 14,032.10 × 6,189.42
  4. Step 4: Simplify right side
    10,168.75x = 86,850,560.38
  5. Step 5: Solve for x
    x = 86,850,560.38/10,168.75
  6. Step 6: Final answer
    x = 8,540.93

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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.