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Finding the Fourth Proportional to 8,020.32, 12,020.00 and 4,314.57

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Solution

The fourth proportional to 8,020.32, 12,020.00 and 4,314.57 is: 6,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.32 : 12,020.00 = 4,314.57 : x
  2. Step 2: Convert to fraction form
    8,020.32/12,020.00 = 4,314.57/x
  3. Step 3: Cross multiply
    8,020.32x = 12,020.00 × 4,314.57
  4. Step 4: Simplify right side
    8,020.32x = 51,861,064.75
  5. Step 5: Solve for x
    x = 51,861,064.75/8,020.32
  6. Step 6: Final answer
    x = 6,466.21

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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.