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Finding the Fourth Proportional to 8,777.64, 13,166.46 and 3,846.16

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Solution

The fourth proportional to 8,777.64, 13,166.46 and 3,846.16 is: 5,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.64 : 13,166.46 = 3,846.16 : x
  2. Step 2: Convert to fraction form
    8,777.64/13,166.46 = 3,846.16/x
  3. Step 3: Cross multiply
    8,777.64x = 13,166.46 × 3,846.16
  4. Step 4: Simplify right side
    8,777.64x = 50,640,278.88
  5. Step 5: Solve for x
    x = 50,640,278.88/8,777.64
  6. Step 6: Final answer
    x = 5,769.24

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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.