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Finding the Fourth Proportional to 11,807.73, 17,707.46 and 3,485.54

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Solution

The fourth proportional to 11,807.73, 17,707.46 and 3,485.54 is: 5,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.73 : 17,707.46 = 3,485.54 : x
  2. Step 2: Convert to fraction form
    11,807.73/17,707.46 = 3,485.54/x
  3. Step 3: Cross multiply
    11,807.73x = 17,707.46 × 3,485.54
  4. Step 4: Simplify right side
    11,807.73x = 61,720,060.13
  5. Step 5: Solve for x
    x = 61,720,060.13/11,807.73
  6. Step 6: Final answer
    x = 5,227.09

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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.