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Finding the Fourth Proportional to 10,874.29, 16,314.16 and 3,083.10

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Solution

The fourth proportional to 10,874.29, 16,314.16 and 3,083.10 is: 4,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.29 : 16,314.16 = 3,083.10 : x
  2. Step 2: Convert to fraction form
    10,874.29/16,314.16 = 3,083.10/x
  3. Step 3: Cross multiply
    10,874.29x = 16,314.16 × 3,083.10
  4. Step 4: Simplify right side
    10,874.29x = 50,298,186.70
  5. Step 5: Solve for x
    x = 50,298,186.70/10,874.29
  6. Step 6: Final answer
    x = 4,625.42

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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.