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Finding the Fourth Proportional to 8,525.44, 12,788.07 and 2,285.26

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Solution

The fourth proportional to 8,525.44, 12,788.07 and 2,285.26 is: 3,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.44 : 12,788.07 = 2,285.26 : x
  2. Step 2: Convert to fraction form
    8,525.44/12,788.07 = 2,285.26/x
  3. Step 3: Cross multiply
    8,525.44x = 12,788.07 × 2,285.26
  4. Step 4: Simplify right side
    8,525.44x = 29,224,064.85
  5. Step 5: Solve for x
    x = 29,224,064.85/8,525.44
  6. Step 6: Final answer
    x = 3,427.87

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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.