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Finding the Fourth Proportional to 8,357.06, 11,525.38 and 5,169.85

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Solution

The fourth proportional to 8,357.06, 11,525.38 and 5,169.85 is: 7,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.06 : 11,525.38 = 5,169.85 : x
  2. Step 2: Convert to fraction form
    8,357.06/11,525.38 = 5,169.85/x
  3. Step 3: Cross multiply
    8,357.06x = 11,525.38 × 5,169.85
  4. Step 4: Simplify right side
    8,357.06x = 59,584,450.52
  5. Step 5: Solve for x
    x = 59,584,450.52/8,357.06
  6. Step 6: Final answer
    x = 7,129.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.