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Finding the Fourth Proportional to 8,389.91, 12,586.38 and 3,456.86

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Solution

The fourth proportional to 8,389.91, 12,586.38 and 3,456.86 is: 5,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.91 : 12,586.38 = 3,456.86 : x
  2. Step 2: Convert to fraction form
    8,389.91/12,586.38 = 3,456.86/x
  3. Step 3: Cross multiply
    8,389.91x = 12,586.38 × 3,456.86
  4. Step 4: Simplify right side
    8,389.91x = 43,509,290.63
  5. Step 5: Solve for x
    x = 43,509,290.63/8,389.91
  6. Step 6: Final answer
    x = 5,185.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.