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Finding the Fourth Proportional to 7,275.91, 10,914.42 and 2,082.19

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Solution

The fourth proportional to 7,275.91, 10,914.42 and 2,082.19 is: 3,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.91 : 10,914.42 = 2,082.19 : x
  2. Step 2: Convert to fraction form
    7,275.91/10,914.42 = 2,082.19/x
  3. Step 3: Cross multiply
    7,275.91x = 10,914.42 × 2,082.19
  4. Step 4: Simplify right side
    7,275.91x = 22,725,896.18
  5. Step 5: Solve for x
    x = 22,725,896.18/7,275.91
  6. Step 6: Final answer
    x = 3,123.44

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Why These Related Problems?

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