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Finding the Fourth Proportional to 8,016.49, 12,024.94 and 3,798.75

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Solution

The fourth proportional to 8,016.49, 12,024.94 and 3,798.75 is: 5,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.49 : 12,024.94 = 3,798.75 : x
  2. Step 2: Convert to fraction form
    8,016.49/12,024.94 = 3,798.75/x
  3. Step 3: Cross multiply
    8,016.49x = 12,024.94 × 3,798.75
  4. Step 4: Simplify right side
    8,016.49x = 45,679,715.90
  5. Step 5: Solve for x
    x = 45,679,715.90/8,016.49
  6. Step 6: Final answer
    x = 5,698.22

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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.