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Finding the Fourth Proportional to 7,232.62, 10,850.01 and 2,300.80

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Solution

The fourth proportional to 7,232.62, 10,850.01 and 2,300.80 is: 3,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.62 : 10,850.01 = 2,300.80 : x
  2. Step 2: Convert to fraction form
    7,232.62/10,850.01 = 2,300.80/x
  3. Step 3: Cross multiply
    7,232.62x = 10,850.01 × 2,300.80
  4. Step 4: Simplify right side
    7,232.62x = 24,963,703.01
  5. Step 5: Solve for x
    x = 24,963,703.01/7,232.62
  6. Step 6: Final answer
    x = 3,451.54

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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.