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Finding the Fourth Proportional to 6,177.60, 8,522.36 and 4,855.15

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Solution

The fourth proportional to 6,177.60, 8,522.36 and 4,855.15 is: 6,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.60 : 8,522.36 = 4,855.15 : x
  2. Step 2: Convert to fraction form
    6,177.60/8,522.36 = 4,855.15/x
  3. Step 3: Cross multiply
    6,177.60x = 8,522.36 × 4,855.15
  4. Step 4: Simplify right side
    6,177.60x = 41,377,293.54
  5. Step 5: Solve for x
    x = 41,377,293.54/6,177.60
  6. Step 6: Final answer
    x = 6,697.96

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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.