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Finding the Fourth Proportional to 7,906.14, 10,909.89 and 4,548.83

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Solution

The fourth proportional to 7,906.14, 10,909.89 and 4,548.83 is: 6,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.14 : 10,909.89 = 4,548.83 : x
  2. Step 2: Convert to fraction form
    7,906.14/10,909.89 = 4,548.83/x
  3. Step 3: Cross multiply
    7,906.14x = 10,909.89 × 4,548.83
  4. Step 4: Simplify right side
    7,906.14x = 49,627,180.38
  5. Step 5: Solve for x
    x = 49,627,180.38/7,906.14
  6. Step 6: Final answer
    x = 6,277.04

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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.