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Finding the Fourth Proportional to 7,859.67, 11,793.35 and 3,699.51

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Solution

The fourth proportional to 7,859.67, 11,793.35 and 3,699.51 is: 5,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.67 : 11,793.35 = 3,699.51 : x
  2. Step 2: Convert to fraction form
    7,859.67/11,793.35 = 3,699.51/x
  3. Step 3: Cross multiply
    7,859.67x = 11,793.35 × 3,699.51
  4. Step 4: Simplify right side
    7,859.67x = 43,629,616.26
  5. Step 5: Solve for x
    x = 43,629,616.26/7,859.67
  6. Step 6: Final answer
    x = 5,551.07

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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.