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Finding the Fourth Proportional to 6,852.73, 10,268.16 and 4,072.81

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Solution

The fourth proportional to 6,852.73, 10,268.16 and 4,072.81 is: 6,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.73 : 10,268.16 = 4,072.81 : x
  2. Step 2: Convert to fraction form
    6,852.73/10,268.16 = 4,072.81/x
  3. Step 3: Cross multiply
    6,852.73x = 10,268.16 × 4,072.81
  4. Step 4: Simplify right side
    6,852.73x = 41,820,264.73
  5. Step 5: Solve for x
    x = 41,820,264.73/6,852.73
  6. Step 6: Final answer
    x = 6,102.72

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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.