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Finding the Fourth Proportional to 8,185.83, 11,295.91 and 4,827.88

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Solution

The fourth proportional to 8,185.83, 11,295.91 and 4,827.88 is: 6,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.83 : 11,295.91 = 4,827.88 : x
  2. Step 2: Convert to fraction form
    8,185.83/11,295.91 = 4,827.88/x
  3. Step 3: Cross multiply
    8,185.83x = 11,295.91 × 4,827.88
  4. Step 4: Simplify right side
    8,185.83x = 54,535,257.66
  5. Step 5: Solve for x
    x = 54,535,257.66/8,185.83
  6. Step 6: Final answer
    x = 6,662.15

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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.