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Finding the Fourth Proportional to 7,902.42, 11,859.01 and 4,207.24

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Solution

The fourth proportional to 7,902.42, 11,859.01 and 4,207.24 is: 6,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.42 : 11,859.01 = 4,207.24 : x
  2. Step 2: Convert to fraction form
    7,902.42/11,859.01 = 4,207.24/x
  3. Step 3: Cross multiply
    7,902.42x = 11,859.01 × 4,207.24
  4. Step 4: Simplify right side
    7,902.42x = 49,893,705.54
  5. Step 5: Solve for x
    x = 49,893,705.54/7,902.42
  6. Step 6: Final answer
    x = 6,313.73

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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.