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Finding the Fourth Proportional to 6,185.75, 8,533.37 and 5,947.05

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Solution

The fourth proportional to 6,185.75, 8,533.37 and 5,947.05 is: 8,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.75 : 8,533.37 = 5,947.05 : x
  2. Step 2: Convert to fraction form
    6,185.75/8,533.37 = 5,947.05/x
  3. Step 3: Cross multiply
    6,185.75x = 8,533.37 × 5,947.05
  4. Step 4: Simplify right side
    6,185.75x = 50,748,378.06
  5. Step 5: Solve for x
    x = 50,748,378.06/6,185.75
  6. Step 6: Final answer
    x = 8,204.08

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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.