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Finding the Fourth Proportional to 8,003.75, 12,005.69 and 2,457.07

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Solution

The fourth proportional to 8,003.75, 12,005.69 and 2,457.07 is: 3,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.75 : 12,005.69 = 2,457.07 : x
  2. Step 2: Convert to fraction form
    8,003.75/12,005.69 = 2,457.07/x
  3. Step 3: Cross multiply
    8,003.75x = 12,005.69 × 2,457.07
  4. Step 4: Simplify right side
    8,003.75x = 29,498,778.43
  5. Step 5: Solve for x
    x = 29,498,778.43/8,003.75
  6. Step 6: Final answer
    x = 3,685.62

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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.