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Finding the Fourth Proportional to 12,083.21, 16,682.12 and 7,898.75

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Solution

The fourth proportional to 12,083.21, 16,682.12 and 7,898.75 is: 10,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.21 : 16,682.12 = 7,898.75 : x
  2. Step 2: Convert to fraction form
    12,083.21/16,682.12 = 7,898.75/x
  3. Step 3: Cross multiply
    12,083.21x = 16,682.12 × 7,898.75
  4. Step 4: Simplify right side
    12,083.21x = 131,767,864.62
  5. Step 5: Solve for x
    x = 131,767,864.62/12,083.21
  6. Step 6: Final answer
    x = 10,905.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.