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Finding the Fourth Proportional to 10,824.66, 16,224.84 and 7,083.62

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Solution

The fourth proportional to 10,824.66, 16,224.84 and 7,083.62 is: 10,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.66 : 16,224.84 = 7,083.62 : x
  2. Step 2: Convert to fraction form
    10,824.66/16,224.84 = 7,083.62/x
  3. Step 3: Cross multiply
    10,824.66x = 16,224.84 × 7,083.62
  4. Step 4: Simplify right side
    10,824.66x = 114,930,601.12
  5. Step 5: Solve for x
    x = 114,930,601.12/10,824.66
  6. Step 6: Final answer
    x = 10,617.48

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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.