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Finding the Fourth Proportional to 7,941.64, 11,911.74 and 2,747.08

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Solution

The fourth proportional to 7,941.64, 11,911.74 and 2,747.08 is: 4,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.64 : 11,911.74 = 2,747.08 : x
  2. Step 2: Convert to fraction form
    7,941.64/11,911.74 = 2,747.08/x
  3. Step 3: Cross multiply
    7,941.64x = 11,911.74 × 2,747.08
  4. Step 4: Simplify right side
    7,941.64x = 32,722,502.72
  5. Step 5: Solve for x
    x = 32,722,502.72/7,941.64
  6. Step 6: Final answer
    x = 4,120.37

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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.