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Finding the Fourth Proportional to 8,034.18, 11,085.82 and 4,846.83

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Solution

The fourth proportional to 8,034.18, 11,085.82 and 4,846.83 is: 6,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.18 : 11,085.82 = 4,846.83 : x
  2. Step 2: Convert to fraction form
    8,034.18/11,085.82 = 4,846.83/x
  3. Step 3: Cross multiply
    8,034.18x = 11,085.82 × 4,846.83
  4. Step 4: Simplify right side
    8,034.18x = 53,731,084.95
  5. Step 5: Solve for x
    x = 53,731,084.95/8,034.18
  6. Step 6: Final answer
    x = 6,687.81

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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.