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Finding the Fourth Proportional to 8,207.86, 12,309.36 and 3,014.14

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Solution

The fourth proportional to 8,207.86, 12,309.36 and 3,014.14 is: 4,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.86 : 12,309.36 = 3,014.14 : x
  2. Step 2: Convert to fraction form
    8,207.86/12,309.36 = 3,014.14/x
  3. Step 3: Cross multiply
    8,207.86x = 12,309.36 × 3,014.14
  4. Step 4: Simplify right side
    8,207.86x = 37,102,134.35
  5. Step 5: Solve for x
    x = 37,102,134.35/8,207.86
  6. Step 6: Final answer
    x = 4,520.32

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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.