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Finding the Fourth Proportional to 7,409.64, 11,107.86 and 2,728.53

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Solution

The fourth proportional to 7,409.64, 11,107.86 and 2,728.53 is: 4,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.64 : 11,107.86 = 2,728.53 : x
  2. Step 2: Convert to fraction form
    7,409.64/11,107.86 = 2,728.53/x
  3. Step 3: Cross multiply
    7,409.64x = 11,107.86 × 2,728.53
  4. Step 4: Simplify right side
    7,409.64x = 30,308,129.25
  5. Step 5: Solve for x
    x = 30,308,129.25/7,409.64
  6. Step 6: Final answer
    x = 4,090.36

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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.