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Finding the Fourth Proportional to 8,509.60, 12,764.42 and 2,586.54

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Solution

The fourth proportional to 8,509.60, 12,764.42 and 2,586.54 is: 3,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.60 : 12,764.42 = 2,586.54 : x
  2. Step 2: Convert to fraction form
    8,509.60/12,764.42 = 2,586.54/x
  3. Step 3: Cross multiply
    8,509.60x = 12,764.42 × 2,586.54
  4. Step 4: Simplify right side
    8,509.60x = 33,015,682.91
  5. Step 5: Solve for x
    x = 33,015,682.91/8,509.60
  6. Step 6: Final answer
    x = 3,879.82

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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.