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Finding the Fourth Proportional to 8,289.24, 11,439.12 and 4,563.24

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Solution

The fourth proportional to 8,289.24, 11,439.12 and 4,563.24 is: 6,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.24 : 11,439.12 = 4,563.24 : x
  2. Step 2: Convert to fraction form
    8,289.24/11,439.12 = 4,563.24/x
  3. Step 3: Cross multiply
    8,289.24x = 11,439.12 × 4,563.24
  4. Step 4: Simplify right side
    8,289.24x = 52,199,449.95
  5. Step 5: Solve for x
    x = 52,199,449.95/8,289.24
  6. Step 6: Final answer
    x = 6,297.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.