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Finding the Fourth Proportional to 8,177.63, 11,285.12 and 4,451.63

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Solution

The fourth proportional to 8,177.63, 11,285.12 and 4,451.63 is: 6,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.63 : 11,285.12 = 4,451.63 : x
  2. Step 2: Convert to fraction form
    8,177.63/11,285.12 = 4,451.63/x
  3. Step 3: Cross multiply
    8,177.63x = 11,285.12 × 4,451.63
  4. Step 4: Simplify right side
    8,177.63x = 50,237,133.45
  5. Step 5: Solve for x
    x = 50,237,133.45/8,177.63
  6. Step 6: Final answer
    x = 6,143.24

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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.