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Finding the Fourth Proportional to 11,640.98, 17,463.81 and 3,323.54

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Solution

The fourth proportional to 11,640.98, 17,463.81 and 3,323.54 is: 4,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.98 : 17,463.81 = 3,323.54 : x
  2. Step 2: Convert to fraction form
    11,640.98/17,463.81 = 3,323.54/x
  3. Step 3: Cross multiply
    11,640.98x = 17,463.81 × 3,323.54
  4. Step 4: Simplify right side
    11,640.98x = 58,041,671.09
  5. Step 5: Solve for x
    x = 58,041,671.09/11,640.98
  6. Step 6: Final answer
    x = 4,985.98

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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.