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Finding the Fourth Proportional to 7,316.14, 10,974.18 and 1,844.14

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Solution

The fourth proportional to 7,316.14, 10,974.18 and 1,844.14 is: 2,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.14 : 10,974.18 = 1,844.14 : x
  2. Step 2: Convert to fraction form
    7,316.14/10,974.18 = 1,844.14/x
  3. Step 3: Cross multiply
    7,316.14x = 10,974.18 × 1,844.14
  4. Step 4: Simplify right side
    7,316.14x = 20,237,924.31
  5. Step 5: Solve for x
    x = 20,237,924.31/7,316.14
  6. Step 6: Final answer
    x = 2,766.20

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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.