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Finding the Fourth Proportional to 7,128.46, 10,694.04 and 3,233.17

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Solution

The fourth proportional to 7,128.46, 10,694.04 and 3,233.17 is: 4,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.46 : 10,694.04 = 3,233.17 : x
  2. Step 2: Convert to fraction form
    7,128.46/10,694.04 = 3,233.17/x
  3. Step 3: Cross multiply
    7,128.46x = 10,694.04 × 3,233.17
  4. Step 4: Simplify right side
    7,128.46x = 34,575,649.31
  5. Step 5: Solve for x
    x = 34,575,649.31/7,128.46
  6. Step 6: Final answer
    x = 4,850.37

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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.