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Finding the Fourth Proportional to 7,283.26, 10,922.18 and 2,602.01

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Solution

The fourth proportional to 7,283.26, 10,922.18 and 2,602.01 is: 3,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.26 : 10,922.18 = 2,602.01 : x
  2. Step 2: Convert to fraction form
    7,283.26/10,922.18 = 2,602.01/x
  3. Step 3: Cross multiply
    7,283.26x = 10,922.18 × 2,602.01
  4. Step 4: Simplify right side
    7,283.26x = 28,419,608.57
  5. Step 5: Solve for x
    x = 28,419,608.57/7,283.26
  6. Step 6: Final answer
    x = 3,902.05

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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.