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Finding the Fourth Proportional to 11,446.50, 15,794.08 and 6,410.80

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Solution

The fourth proportional to 11,446.50, 15,794.08 and 6,410.80 is: 8,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.50 : 15,794.08 = 6,410.80 : x
  2. Step 2: Convert to fraction form
    11,446.50/15,794.08 = 6,410.80/x
  3. Step 3: Cross multiply
    11,446.50x = 15,794.08 × 6,410.80
  4. Step 4: Simplify right side
    11,446.50x = 101,252,688.06
  5. Step 5: Solve for x
    x = 101,252,688.06/11,446.50
  6. Step 6: Final answer
    x = 8,845.73

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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.