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Finding the Fourth Proportional to 8,311.60, 11,464.14 and 4,951.82

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Solution

The fourth proportional to 8,311.60, 11,464.14 and 4,951.82 is: 6,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.60 : 11,464.14 = 4,951.82 : x
  2. Step 2: Convert to fraction form
    8,311.60/11,464.14 = 4,951.82/x
  3. Step 3: Cross multiply
    8,311.60x = 11,464.14 × 4,951.82
  4. Step 4: Simplify right side
    8,311.60x = 56,768,357.73
  5. Step 5: Solve for x
    x = 56,768,357.73/8,311.60
  6. Step 6: Final answer
    x = 6,830.02

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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.