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Finding the Fourth Proportional to 10,874.04, 16,312.32 and 3,083.28

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Solution

The fourth proportional to 10,874.04, 16,312.32 and 3,083.28 is: 4,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.04 : 16,312.32 = 3,083.28 : x
  2. Step 2: Convert to fraction form
    10,874.04/16,312.32 = 3,083.28/x
  3. Step 3: Cross multiply
    10,874.04x = 16,312.32 × 3,083.28
  4. Step 4: Simplify right side
    10,874.04x = 50,295,450.01
  5. Step 5: Solve for x
    x = 50,295,450.01/10,874.04
  6. Step 6: Final answer
    x = 4,625.28

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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.