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Finding the Fourth Proportional to 6,725.76, 10,082.49 and 2,830.44

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Solution

The fourth proportional to 6,725.76, 10,082.49 and 2,830.44 is: 4,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.76 : 10,082.49 = 2,830.44 : x
  2. Step 2: Convert to fraction form
    6,725.76/10,082.49 = 2,830.44/x
  3. Step 3: Cross multiply
    6,725.76x = 10,082.49 × 2,830.44
  4. Step 4: Simplify right side
    6,725.76x = 28,537,883.00
  5. Step 5: Solve for x
    x = 28,537,883.00/6,725.76
  6. Step 6: Final answer
    x = 4,243.07

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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.