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Finding the Fourth Proportional to 8,314.02, 12,466.17 and 3,120.30

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Solution

The fourth proportional to 8,314.02, 12,466.17 and 3,120.30 is: 4,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.02 : 12,466.17 = 3,120.30 : x
  2. Step 2: Convert to fraction form
    8,314.02/12,466.17 = 3,120.30/x
  3. Step 3: Cross multiply
    8,314.02x = 12,466.17 × 3,120.30
  4. Step 4: Simplify right side
    8,314.02x = 38,898,190.25
  5. Step 5: Solve for x
    x = 38,898,190.25/8,314.02
  6. Step 6: Final answer
    x = 4,678.63

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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.