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Finding the Fourth Proportional to 11,460.81, 17,191.46 and 3,669.60

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Solution

The fourth proportional to 11,460.81, 17,191.46 and 3,669.60 is: 5,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.81 : 17,191.46 = 3,669.60 : x
  2. Step 2: Convert to fraction form
    11,460.81/17,191.46 = 3,669.60/x
  3. Step 3: Cross multiply
    11,460.81x = 17,191.46 × 3,669.60
  4. Step 4: Simplify right side
    11,460.81x = 63,085,763.27
  5. Step 5: Solve for x
    x = 63,085,763.27/11,460.81
  6. Step 6: Final answer
    x = 5,504.48

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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.