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Finding the Fourth Proportional to 8,428.68, 12,626.09 and 4,199.18

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Solution

The fourth proportional to 8,428.68, 12,626.09 and 4,199.18 is: 6,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.68 : 12,626.09 = 4,199.18 : x
  2. Step 2: Convert to fraction form
    8,428.68/12,626.09 = 4,199.18/x
  3. Step 3: Cross multiply
    8,428.68x = 12,626.09 × 4,199.18
  4. Step 4: Simplify right side
    8,428.68x = 53,019,224.61
  5. Step 5: Solve for x
    x = 53,019,224.61/8,428.68
  6. Step 6: Final answer
    x = 6,290.34

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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.