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Finding the Fourth Proportional to 7,078.96, 10,618.37 and 1,884.83

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Solution

The fourth proportional to 7,078.96, 10,618.37 and 1,884.83 is: 2,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.96 : 10,618.37 = 1,884.83 : x
  2. Step 2: Convert to fraction form
    7,078.96/10,618.37 = 1,884.83/x
  3. Step 3: Cross multiply
    7,078.96x = 10,618.37 × 1,884.83
  4. Step 4: Simplify right side
    7,078.96x = 20,013,812.90
  5. Step 5: Solve for x
    x = 20,013,812.90/7,078.96
  6. Step 6: Final answer
    x = 2,827.23

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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.