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Finding the Fourth Proportional to 7,078.70, 10,618.06 and 1,884.56

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Solution

The fourth proportional to 7,078.70, 10,618.06 and 1,884.56 is: 2,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.70 : 10,618.06 = 1,884.56 : x
  2. Step 2: Convert to fraction form
    7,078.70/10,618.06 = 1,884.56/x
  3. Step 3: Cross multiply
    7,078.70x = 10,618.06 × 1,884.56
  4. Step 4: Simplify right side
    7,078.70x = 20,010,371.15
  5. Step 5: Solve for x
    x = 20,010,371.15/7,078.70
  6. Step 6: Final answer
    x = 2,826.84

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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.