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Finding the Fourth Proportional to 11,552.68, 17,328.70 and 3,233.28

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Solution

The fourth proportional to 11,552.68, 17,328.70 and 3,233.28 is: 4,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.68 : 17,328.70 = 3,233.28 : x
  2. Step 2: Convert to fraction form
    11,552.68/17,328.70 = 3,233.28/x
  3. Step 3: Cross multiply
    11,552.68x = 17,328.70 × 3,233.28
  4. Step 4: Simplify right side
    11,552.68x = 56,028,539.14
  5. Step 5: Solve for x
    x = 56,028,539.14/11,552.68
  6. Step 6: Final answer
    x = 4,849.83

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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.