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Finding the Fourth Proportional to 11,446.50, 15,796.96 and 6,411.12

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Solution

The fourth proportional to 11,446.50, 15,796.96 and 6,411.12 is: 8,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.50 : 15,796.96 = 6,411.12 : x
  2. Step 2: Convert to fraction form
    11,446.50/15,796.96 = 6,411.12/x
  3. Step 3: Cross multiply
    11,446.50x = 15,796.96 × 6,411.12
  4. Step 4: Simplify right side
    11,446.50x = 101,276,206.20
  5. Step 5: Solve for x
    x = 101,276,206.20/11,446.50
  6. Step 6: Final answer
    x = 8,847.79

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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.