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Finding the Fourth Proportional to 7,906.74, 11,850.30 and 5,271.90

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Solution

The fourth proportional to 7,906.74, 11,850.30 and 5,271.90 is: 7,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.74 : 11,850.30 = 5,271.90 : x
  2. Step 2: Convert to fraction form
    7,906.74/11,850.30 = 5,271.90/x
  3. Step 3: Cross multiply
    7,906.74x = 11,850.30 × 5,271.90
  4. Step 4: Simplify right side
    7,906.74x = 62,473,596.57
  5. Step 5: Solve for x
    x = 62,473,596.57/7,906.74
  6. Step 6: Final answer
    x = 7,901.31

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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.