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Finding the Fourth Proportional to 11,660, 17,485.88 and 3,762.20

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Solution

The fourth proportional to 11,660, 17,485.88 and 3,762.20 is: 5,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660 : 17,485.88 = 3,762.20 : x
  2. Step 2: Convert to fraction form
    11,660/17,485.88 = 3,762.20/x
  3. Step 3: Cross multiply
    11,660x = 17,485.88 × 3,762.20
  4. Step 4: Simplify right side
    11,660x = 65,785,377.74
  5. Step 5: Solve for x
    x = 65,785,377.74/11,660
  6. Step 6: Final answer
    x = 5,641.97

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