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Finding the Fourth Proportional to 7,232.69, 10,850.56 and 2,302.70

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Solution

The fourth proportional to 7,232.69, 10,850.56 and 2,302.70 is: 3,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.69 : 10,850.56 = 2,302.70 : x
  2. Step 2: Convert to fraction form
    7,232.69/10,850.56 = 2,302.70/x
  3. Step 3: Cross multiply
    7,232.69x = 10,850.56 × 2,302.70
  4. Step 4: Simplify right side
    7,232.69x = 24,985,524.50
  5. Step 5: Solve for x
    x = 24,985,524.50/7,232.69
  6. Step 6: Final answer
    x = 3,454.53

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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.