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Finding the Fourth Proportional to 10,682.57, 16,026.11 and 4,019.13

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Solution

The fourth proportional to 10,682.57, 16,026.11 and 4,019.13 is: 6,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.57 : 16,026.11 = 4,019.13 : x
  2. Step 2: Convert to fraction form
    10,682.57/16,026.11 = 4,019.13/x
  3. Step 3: Cross multiply
    10,682.57x = 16,026.11 × 4,019.13
  4. Step 4: Simplify right side
    10,682.57x = 64,411,019.48
  5. Step 5: Solve for x
    x = 64,411,019.48/10,682.57
  6. Step 6: Final answer
    x = 6,029.54

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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.