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Finding the Fourth Proportional to 7,708.28, 11,563.18 and 3,549.48

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Solution

The fourth proportional to 7,708.28, 11,563.18 and 3,549.48 is: 5,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.28 : 11,563.18 = 3,549.48 : x
  2. Step 2: Convert to fraction form
    7,708.28/11,563.18 = 3,549.48/x
  3. Step 3: Cross multiply
    7,708.28x = 11,563.18 × 3,549.48
  4. Step 4: Simplify right side
    7,708.28x = 41,043,276.15
  5. Step 5: Solve for x
    x = 41,043,276.15/7,708.28
  6. Step 6: Final answer
    x = 5,324.57

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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.