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Finding the Fourth Proportional to 8,185.83, 11,295.86 and 5,042.07

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Solution

The fourth proportional to 8,185.83, 11,295.86 and 5,042.07 is: 6,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.83 : 11,295.86 = 5,042.07 : x
  2. Step 2: Convert to fraction form
    8,185.83/11,295.86 = 5,042.07/x
  3. Step 3: Cross multiply
    8,185.83x = 11,295.86 × 5,042.07
  4. Step 4: Simplify right side
    8,185.83x = 56,954,491.62
  5. Step 5: Solve for x
    x = 56,954,491.62/8,185.83
  6. Step 6: Final answer
    x = 6,957.69

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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.