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Finding the Fourth Proportional to 6,889.29, 10,338.54 and 2,506.75

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Solution

The fourth proportional to 6,889.29, 10,338.54 and 2,506.75 is: 3,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.29 : 10,338.54 = 2,506.75 : x
  2. Step 2: Convert to fraction form
    6,889.29/10,338.54 = 2,506.75/x
  3. Step 3: Cross multiply
    6,889.29x = 10,338.54 × 2,506.75
  4. Step 4: Simplify right side
    6,889.29x = 25,916,135.15
  5. Step 5: Solve for x
    x = 25,916,135.15/6,889.29
  6. Step 6: Final answer
    x = 3,761.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.