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Finding the Fourth Proportional to 8,485.76, 12,728.70 and 2,562.68

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Solution

The fourth proportional to 8,485.76, 12,728.70 and 2,562.68 is: 3,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.76 : 12,728.70 = 2,562.68 : x
  2. Step 2: Convert to fraction form
    8,485.76/12,728.70 = 2,562.68/x
  3. Step 3: Cross multiply
    8,485.76x = 12,728.70 × 2,562.68
  4. Step 4: Simplify right side
    8,485.76x = 32,619,616.74
  5. Step 5: Solve for x
    x = 32,619,616.74/8,485.76
  6. Step 6: Final answer
    x = 3,844.04

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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.