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Finding the Fourth Proportional to 11,760.54, 17,640.64 and 4,740.37

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Solution

The fourth proportional to 11,760.54, 17,640.64 and 4,740.37 is: 7,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.54 : 17,640.64 = 4,740.37 : x
  2. Step 2: Convert to fraction form
    11,760.54/17,640.64 = 4,740.37/x
  3. Step 3: Cross multiply
    11,760.54x = 17,640.64 × 4,740.37
  4. Step 4: Simplify right side
    11,760.54x = 83,623,195.02
  5. Step 5: Solve for x
    x = 83,623,195.02/11,760.54
  6. Step 6: Final answer
    x = 7,110.49

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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.