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Finding the Fourth Proportional to 10,794.47, 16,182.11 and 4,219.16

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Solution

The fourth proportional to 10,794.47, 16,182.11 and 4,219.16 is: 6,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.47 : 16,182.11 = 4,219.16 : x
  2. Step 2: Convert to fraction form
    10,794.47/16,182.11 = 4,219.16/x
  3. Step 3: Cross multiply
    10,794.47x = 16,182.11 × 4,219.16
  4. Step 4: Simplify right side
    10,794.47x = 68,274,840.86
  5. Step 5: Solve for x
    x = 68,274,840.86/10,794.47
  6. Step 6: Final answer
    x = 6,324.99

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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.