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Finding the Fourth Proportional to 8,584.87, 11,847.71 and 4,808.35

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Solution

The fourth proportional to 8,584.87, 11,847.71 and 4,808.35 is: 6,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.87 : 11,847.71 = 4,808.35 : x
  2. Step 2: Convert to fraction form
    8,584.87/11,847.71 = 4,808.35/x
  3. Step 3: Cross multiply
    8,584.87x = 11,847.71 × 4,808.35
  4. Step 4: Simplify right side
    8,584.87x = 56,967,918.78
  5. Step 5: Solve for x
    x = 56,967,918.78/8,584.87
  6. Step 6: Final answer
    x = 6,635.85

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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.