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Finding the Fourth Proportional to 8,191.74, 12,266.19 and 4,486.26

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Solution

The fourth proportional to 8,191.74, 12,266.19 and 4,486.26 is: 6,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.74 : 12,266.19 = 4,486.26 : x
  2. Step 2: Convert to fraction form
    8,191.74/12,266.19 = 4,486.26/x
  3. Step 3: Cross multiply
    8,191.74x = 12,266.19 × 4,486.26
  4. Step 4: Simplify right side
    8,191.74x = 55,029,317.55
  5. Step 5: Solve for x
    x = 55,029,317.55/8,191.74
  6. Step 6: Final answer
    x = 6,717.66

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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.