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Finding the Fourth Proportional to 8,709.41, 13,063.50 and 3,782.58

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Solution

The fourth proportional to 8,709.41, 13,063.50 and 3,782.58 is: 5,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.41 : 13,063.50 = 3,782.58 : x
  2. Step 2: Convert to fraction form
    8,709.41/13,063.50 = 3,782.58/x
  3. Step 3: Cross multiply
    8,709.41x = 13,063.50 × 3,782.58
  4. Step 4: Simplify right side
    8,709.41x = 49,413,733.83
  5. Step 5: Solve for x
    x = 49,413,733.83/8,709.41
  6. Step 6: Final answer
    x = 5,673.61

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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.