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Finding the Fourth Proportional to 4,062.73, 6,094.10 and 1,141.14

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Solution

The fourth proportional to 4,062.73, 6,094.10 and 1,141.14 is: 1,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.73 : 6,094.10 = 1,141.14 : x
  2. Step 2: Convert to fraction form
    4,062.73/6,094.10 = 1,141.14/x
  3. Step 3: Cross multiply
    4,062.73x = 6,094.10 × 1,141.14
  4. Step 4: Simplify right side
    4,062.73x = 6,954,185.10
  5. Step 5: Solve for x
    x = 6,954,185.10/4,062.73
  6. Step 6: Final answer
    x = 1,711.70

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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.