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Finding the Fourth Proportional to 6,855.31, 9,460.33 and 3,711.50

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Solution

The fourth proportional to 6,855.31, 9,460.33 and 3,711.50 is: 5,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.31 : 9,460.33 = 3,711.50 : x
  2. Step 2: Convert to fraction form
    6,855.31/9,460.33 = 3,711.50/x
  3. Step 3: Cross multiply
    6,855.31x = 9,460.33 × 3,711.50
  4. Step 4: Simplify right side
    6,855.31x = 35,112,014.57
  5. Step 5: Solve for x
    x = 35,112,014.57/6,855.31
  6. Step 6: Final answer
    x = 5,121.87

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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.