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Finding the Fourth Proportional to 8,297.77, 12,433.69 and 4,789.93

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Solution

The fourth proportional to 8,297.77, 12,433.69 and 4,789.93 is: 7,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.77 : 12,433.69 = 4,789.93 : x
  2. Step 2: Convert to fraction form
    8,297.77/12,433.69 = 4,789.93/x
  3. Step 3: Cross multiply
    8,297.77x = 12,433.69 × 4,789.93
  4. Step 4: Simplify right side
    8,297.77x = 59,556,504.74
  5. Step 5: Solve for x
    x = 59,556,504.74/8,297.77
  6. Step 6: Final answer
    x = 7,177.41

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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.