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Finding the Fourth Proportional to 7,277.31, 10,915.94 and 2,083.19

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Solution

The fourth proportional to 7,277.31, 10,915.94 and 2,083.19 is: 3,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.31 : 10,915.94 = 2,083.19 : x
  2. Step 2: Convert to fraction form
    7,277.31/10,915.94 = 2,083.19/x
  3. Step 3: Cross multiply
    7,277.31x = 10,915.94 × 2,083.19
  4. Step 4: Simplify right side
    7,277.31x = 22,739,912.05
  5. Step 5: Solve for x
    x = 22,739,912.05/7,277.31
  6. Step 6: Final answer
    x = 3,124.77

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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.