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Finding the Fourth Proportional to 8,194.01, 12,291.04 and 2,038.01

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Solution

The fourth proportional to 8,194.01, 12,291.04 and 2,038.01 is: 3,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.01 : 12,291.04 = 2,038.01 : x
  2. Step 2: Convert to fraction form
    8,194.01/12,291.04 = 2,038.01/x
  3. Step 3: Cross multiply
    8,194.01x = 12,291.04 × 2,038.01
  4. Step 4: Simplify right side
    8,194.01x = 25,049,262.43
  5. Step 5: Solve for x
    x = 25,049,262.43/8,194.01
  6. Step 6: Final answer
    x = 3,057.02

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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.