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Finding the Fourth Proportional to 7,661.85, 11,486.93 and 3,961.72

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Solution

The fourth proportional to 7,661.85, 11,486.93 and 3,961.72 is: 5,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.85 : 11,486.93 = 3,961.72 : x
  2. Step 2: Convert to fraction form
    7,661.85/11,486.93 = 3,961.72/x
  3. Step 3: Cross multiply
    7,661.85x = 11,486.93 × 3,961.72
  4. Step 4: Simplify right side
    7,661.85x = 45,507,971.60
  5. Step 5: Solve for x
    x = 45,507,971.60/7,661.85
  6. Step 6: Final answer
    x = 5,939.56

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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.