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Finding the Fourth Proportional to 11,655, 17,485.46 and 3,447

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Solution

The fourth proportional to 11,655, 17,485.46 and 3,447 is: 5,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655 : 17,485.46 = 3,447 : x
  2. Step 2: Convert to fraction form
    11,655/17,485.46 = 3,447/x
  3. Step 3: Cross multiply
    11,655x = 17,485.46 × 3,447
  4. Step 4: Simplify right side
    11,655x = 60,272,380.62
  5. Step 5: Solve for x
    x = 60,272,380.62/11,655
  6. Step 6: Final answer
    x = 5,171.38

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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.