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Finding the Fourth Proportional to 8,126.96, 12,190.68 and 5,625.68

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Solution

The fourth proportional to 8,126.96, 12,190.68 and 5,625.68 is: 8,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.96 : 12,190.68 = 5,625.68 : x
  2. Step 2: Convert to fraction form
    8,126.96/12,190.68 = 5,625.68/x
  3. Step 3: Cross multiply
    8,126.96x = 12,190.68 × 5,625.68
  4. Step 4: Simplify right side
    8,126.96x = 68,580,864.66
  5. Step 5: Solve for x
    x = 68,580,864.66/8,126.96
  6. Step 6: Final answer
    x = 8,438.69

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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.