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Finding the Fourth Proportional to 11,363.96, 15,682.11 and 6,328.04

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Solution

The fourth proportional to 11,363.96, 15,682.11 and 6,328.04 is: 8,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.96 : 15,682.11 = 6,328.04 : x
  2. Step 2: Convert to fraction form
    11,363.96/15,682.11 = 6,328.04/x
  3. Step 3: Cross multiply
    11,363.96x = 15,682.11 × 6,328.04
  4. Step 4: Simplify right side
    11,363.96x = 99,237,019.36
  5. Step 5: Solve for x
    x = 99,237,019.36/11,363.96
  6. Step 6: Final answer
    x = 8,732.61

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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.