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Finding the Fourth Proportional to 8,177.60, 11,285.36 and 4,593.19

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Solution

The fourth proportional to 8,177.60, 11,285.36 and 4,593.19 is: 6,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.60 : 11,285.36 = 4,593.19 : x
  2. Step 2: Convert to fraction form
    8,177.60/11,285.36 = 4,593.19/x
  3. Step 3: Cross multiply
    8,177.60x = 11,285.36 × 4,593.19
  4. Step 4: Simplify right side
    8,177.60x = 51,835,729.05
  5. Step 5: Solve for x
    x = 51,835,729.05/8,177.60
  6. Step 6: Final answer
    x = 6,338.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.