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Finding the Fourth Proportional to 8,321.58, 11,485.74 and 4,786.83

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Solution

The fourth proportional to 8,321.58, 11,485.74 and 4,786.83 is: 6,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.58 : 11,485.74 = 4,786.83 : x
  2. Step 2: Convert to fraction form
    8,321.58/11,485.74 = 4,786.83/x
  3. Step 3: Cross multiply
    8,321.58x = 11,485.74 × 4,786.83
  4. Step 4: Simplify right side
    8,321.58x = 54,980,284.80
  5. Step 5: Solve for x
    x = 54,980,284.80/8,321.58
  6. Step 6: Final answer
    x = 6,606.95

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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.