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Finding the Fourth Proportional to 8,243.64, 11,376.27 and 4,888.13

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Solution

The fourth proportional to 8,243.64, 11,376.27 and 4,888.13 is: 6,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.64 : 11,376.27 = 4,888.13 : x
  2. Step 2: Convert to fraction form
    8,243.64/11,376.27 = 4,888.13/x
  3. Step 3: Cross multiply
    8,243.64x = 11,376.27 × 4,888.13
  4. Step 4: Simplify right side
    8,243.64x = 55,608,629.79
  5. Step 5: Solve for x
    x = 55,608,629.79/8,243.64
  6. Step 6: Final answer
    x = 6,745.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.