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Finding the Fourth Proportional to 8,369.82, 12,556.64 and 2,823.02

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Solution

The fourth proportional to 8,369.82, 12,556.64 and 2,823.02 is: 4,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.82 : 12,556.64 = 2,823.02 : x
  2. Step 2: Convert to fraction form
    8,369.82/12,556.64 = 2,823.02/x
  3. Step 3: Cross multiply
    8,369.82x = 12,556.64 × 2,823.02
  4. Step 4: Simplify right side
    8,369.82x = 35,447,645.85
  5. Step 5: Solve for x
    x = 35,447,645.85/8,369.82
  6. Step 6: Final answer
    x = 4,235.17

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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.