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Finding the Fourth Proportional to 7,283.49, 10,922.46 and 2,602.64

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Solution

The fourth proportional to 7,283.49, 10,922.46 and 2,602.64 is: 3,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.49 : 10,922.46 = 2,602.64 : x
  2. Step 2: Convert to fraction form
    7,283.49/10,922.46 = 2,602.64/x
  3. Step 3: Cross multiply
    7,283.49x = 10,922.46 × 2,602.64
  4. Step 4: Simplify right side
    7,283.49x = 28,427,176.68
  5. Step 5: Solve for x
    x = 28,427,176.68/7,283.49
  6. Step 6: Final answer
    x = 3,902.96

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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.