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Finding the Fourth Proportional to 8,096.38, 12,145.05 and 2,549.90

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Solution

The fourth proportional to 8,096.38, 12,145.05 and 2,549.90 is: 3,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.38 : 12,145.05 = 2,549.90 : x
  2. Step 2: Convert to fraction form
    8,096.38/12,145.05 = 2,549.90/x
  3. Step 3: Cross multiply
    8,096.38x = 12,145.05 × 2,549.90
  4. Step 4: Simplify right side
    8,096.38x = 30,968,663.00
  5. Step 5: Solve for x
    x = 30,968,663.00/8,096.38
  6. Step 6: Final answer
    x = 3,825.00

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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.