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Finding the Fourth Proportional to 7,906.50, 11,859.59 and 2,359.86

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Solution

The fourth proportional to 7,906.50, 11,859.59 and 2,359.86 is: 3,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.50 : 11,859.59 = 2,359.86 : x
  2. Step 2: Convert to fraction form
    7,906.50/11,859.59 = 2,359.86/x
  3. Step 3: Cross multiply
    7,906.50x = 11,859.59 × 2,359.86
  4. Step 4: Simplify right side
    7,906.50x = 27,986,960.26
  5. Step 5: Solve for x
    x = 27,986,960.26/7,906.50
  6. Step 6: Final answer
    x = 3,539.74

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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.