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Finding the Fourth Proportional to 10,082.94, 15,111.30 and 5,640.39

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Solution

The fourth proportional to 10,082.94, 15,111.30 and 5,640.39 is: 8,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.94 : 15,111.30 = 5,640.39 : x
  2. Step 2: Convert to fraction form
    10,082.94/15,111.30 = 5,640.39/x
  3. Step 3: Cross multiply
    10,082.94x = 15,111.30 × 5,640.39
  4. Step 4: Simplify right side
    10,082.94x = 85,233,625.41
  5. Step 5: Solve for x
    x = 85,233,625.41/10,082.94
  6. Step 6: Final answer
    x = 8,453.25

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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.