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Finding the Fourth Proportional to 7,181.40, 10,771.23 and 1,916.79

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Solution

The fourth proportional to 7,181.40, 10,771.23 and 1,916.79 is: 2,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.40 : 10,771.23 = 1,916.79 : x
  2. Step 2: Convert to fraction form
    7,181.40/10,771.23 = 1,916.79/x
  3. Step 3: Cross multiply
    7,181.40x = 10,771.23 × 1,916.79
  4. Step 4: Simplify right side
    7,181.40x = 20,646,185.95
  5. Step 5: Solve for x
    x = 20,646,185.95/7,181.40
  6. Step 6: Final answer
    x = 2,874.95

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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.