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Finding the Fourth Proportional to 8,314.27, 11,471.52 and 4,955.60

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Solution

The fourth proportional to 8,314.27, 11,471.52 and 4,955.60 is: 6,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.27 : 11,471.52 = 4,955.60 : x
  2. Step 2: Convert to fraction form
    8,314.27/11,471.52 = 4,955.60/x
  3. Step 3: Cross multiply
    8,314.27x = 11,471.52 × 4,955.60
  4. Step 4: Simplify right side
    8,314.27x = 56,848,264.51
  5. Step 5: Solve for x
    x = 56,848,264.51/8,314.27
  6. Step 6: Final answer
    x = 6,837.43

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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.