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Finding the Fourth Proportional to 8,446.20, 11,661.93 and 5,463.78

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Solution

The fourth proportional to 8,446.20, 11,661.93 and 5,463.78 is: 7,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.20 : 11,661.93 = 5,463.78 : x
  2. Step 2: Convert to fraction form
    8,446.20/11,661.93 = 5,463.78/x
  3. Step 3: Cross multiply
    8,446.20x = 11,661.93 × 5,463.78
  4. Step 4: Simplify right side
    8,446.20x = 63,718,219.90
  5. Step 5: Solve for x
    x = 63,718,219.90/8,446.20
  6. Step 6: Final answer
    x = 7,544.01

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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.