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Finding the Fourth Proportional to 7,384.86, 11,069.69 and 3,224.09

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Solution

The fourth proportional to 7,384.86, 11,069.69 and 3,224.09 is: 4,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.86 : 11,069.69 = 3,224.09 : x
  2. Step 2: Convert to fraction form
    7,384.86/11,069.69 = 3,224.09/x
  3. Step 3: Cross multiply
    7,384.86x = 11,069.69 × 3,224.09
  4. Step 4: Simplify right side
    7,384.86x = 35,689,676.83
  5. Step 5: Solve for x
    x = 35,689,676.83/7,384.86
  6. Step 6: Final answer
    x = 4,832.82

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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.