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Finding the Fourth Proportional to 8,177.76, 12,247.20 and 3,788.64

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Solution

The fourth proportional to 8,177.76, 12,247.20 and 3,788.64 is: 5,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.76 : 12,247.20 = 3,788.64 : x
  2. Step 2: Convert to fraction form
    8,177.76/12,247.20 = 3,788.64/x
  3. Step 3: Cross multiply
    8,177.76x = 12,247.20 × 3,788.64
  4. Step 4: Simplify right side
    8,177.76x = 46,400,231.81
  5. Step 5: Solve for x
    x = 46,400,231.81/8,177.76
  6. Step 6: Final answer
    x = 5,673.95

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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.