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Finding the Fourth Proportional to 8,621.64, 12,908.46 and 5,664.84

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Solution

The fourth proportional to 8,621.64, 12,908.46 and 5,664.84 is: 8,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,621.64 : 12,908.46 = 5,664.84 : x
  2. Step 2: Convert to fraction form
    8,621.64/12,908.46 = 5,664.84/x
  3. Step 3: Cross multiply
    8,621.64x = 12,908.46 × 5,664.84
  4. Step 4: Simplify right side
    8,621.64x = 73,124,360.55
  5. Step 5: Solve for x
    x = 73,124,360.55/8,621.64
  6. Step 6: Final answer
    x = 8,481.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.