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Finding the Fourth Proportional to 11,477.50, 17,219.13 and 3,269.50

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Solution

The fourth proportional to 11,477.50, 17,219.13 and 3,269.50 is: 4,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.50 : 17,219.13 = 3,269.50 : x
  2. Step 2: Convert to fraction form
    11,477.50/17,219.13 = 3,269.50/x
  3. Step 3: Cross multiply
    11,477.50x = 17,219.13 × 3,269.50
  4. Step 4: Simplify right side
    11,477.50x = 56,297,945.54
  5. Step 5: Solve for x
    x = 56,297,945.54/11,477.50
  6. Step 6: Final answer
    x = 4,905.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.