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Finding the Fourth Proportional to 11,443.50, 17,165.40 and 4,048.08

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Solution

The fourth proportional to 11,443.50, 17,165.40 and 4,048.08 is: 6,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.50 : 17,165.40 = 4,048.08 : x
  2. Step 2: Convert to fraction form
    11,443.50/17,165.40 = 4,048.08/x
  3. Step 3: Cross multiply
    11,443.50x = 17,165.40 × 4,048.08
  4. Step 4: Simplify right side
    11,443.50x = 69,486,912.43
  5. Step 5: Solve for x
    x = 69,486,912.43/11,443.50
  6. Step 6: Final answer
    x = 6,072.17

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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.