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Finding the Fourth Proportional to 8,025, 12,037.46 and 2,181.59

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Solution

The fourth proportional to 8,025, 12,037.46 and 2,181.59 is: 3,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025 : 12,037.46 = 2,181.59 : x
  2. Step 2: Convert to fraction form
    8,025/12,037.46 = 2,181.59/x
  3. Step 3: Cross multiply
    8,025x = 12,037.46 × 2,181.59
  4. Step 4: Simplify right side
    8,025x = 26,260,802.36
  5. Step 5: Solve for x
    x = 26,260,802.36/8,025
  6. Step 6: Final answer
    x = 3,272.37

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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.