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Finding the Fourth Proportional to 8,208.75, 12,314.34 and 3,014.22

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Solution

The fourth proportional to 8,208.75, 12,314.34 and 3,014.22 is: 4,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.75 : 12,314.34 = 3,014.22 : x
  2. Step 2: Convert to fraction form
    8,208.75/12,314.34 = 3,014.22/x
  3. Step 3: Cross multiply
    8,208.75x = 12,314.34 × 3,014.22
  4. Step 4: Simplify right side
    8,208.75x = 37,118,129.91
  5. Step 5: Solve for x
    x = 37,118,129.91/8,208.75
  6. Step 6: Final answer
    x = 4,521.78

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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.