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Finding the Fourth Proportional to 8,191.24, 12,288.93 and 3,508.90

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Solution

The fourth proportional to 8,191.24, 12,288.93 and 3,508.90 is: 5,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.24 : 12,288.93 = 3,508.90 : x
  2. Step 2: Convert to fraction form
    8,191.24/12,288.93 = 3,508.90/x
  3. Step 3: Cross multiply
    8,191.24x = 12,288.93 × 3,508.90
  4. Step 4: Simplify right side
    8,191.24x = 43,120,626.48
  5. Step 5: Solve for x
    x = 43,120,626.48/8,191.24
  6. Step 6: Final answer
    x = 5,264.24

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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.