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Finding the Fourth Proportional to 8,194.24, 12,291.36 and 2,038.24

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Solution

The fourth proportional to 8,194.24, 12,291.36 and 2,038.24 is: 3,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.24 : 12,291.36 = 2,038.24 : x
  2. Step 2: Convert to fraction form
    8,194.24/12,291.36 = 2,038.24/x
  3. Step 3: Cross multiply
    8,194.24x = 12,291.36 × 2,038.24
  4. Step 4: Simplify right side
    8,194.24x = 25,052,741.61
  5. Step 5: Solve for x
    x = 25,052,741.61/8,194.24
  6. Step 6: Final answer
    x = 3,057.36

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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.