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Finding the Fourth Proportional to 7,791.39, 11,686.16 and 2,169.50

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Solution

The fourth proportional to 7,791.39, 11,686.16 and 2,169.50 is: 3,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.39 : 11,686.16 = 2,169.50 : x
  2. Step 2: Convert to fraction form
    7,791.39/11,686.16 = 2,169.50/x
  3. Step 3: Cross multiply
    7,791.39x = 11,686.16 × 2,169.50
  4. Step 4: Simplify right side
    7,791.39x = 25,353,054.84
  5. Step 5: Solve for x
    x = 25,353,054.84/7,791.39
  6. Step 6: Final answer
    x = 3,253.98

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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.