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Finding the Fourth Proportional to 7,328.24, 10,992.20 and 1,781.61

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Solution

The fourth proportional to 7,328.24, 10,992.20 and 1,781.61 is: 2,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.24 : 10,992.20 = 1,781.61 : x
  2. Step 2: Convert to fraction form
    7,328.24/10,992.20 = 1,781.61/x
  3. Step 3: Cross multiply
    7,328.24x = 10,992.20 × 1,781.61
  4. Step 4: Simplify right side
    7,328.24x = 19,583,813.44
  5. Step 5: Solve for x
    x = 19,583,813.44/7,328.24
  6. Step 6: Final answer
    x = 2,672.38

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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.