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Finding the Fourth Proportional to 7,078.46, 10,617.62 and 1,884.33

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Solution

The fourth proportional to 7,078.46, 10,617.62 and 1,884.33 is: 2,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.46 : 10,617.62 = 1,884.33 : x
  2. Step 2: Convert to fraction form
    7,078.46/10,617.62 = 1,884.33/x
  3. Step 3: Cross multiply
    7,078.46x = 10,617.62 × 1,884.33
  4. Step 4: Simplify right side
    7,078.46x = 20,007,090.47
  5. Step 5: Solve for x
    x = 20,007,090.47/7,078.46
  6. Step 6: Final answer
    x = 2,826.48

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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.