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Finding the Fourth Proportional to 7,627.64, 11,434.12 and 2,944.20

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Solution

The fourth proportional to 7,627.64, 11,434.12 and 2,944.20 is: 4,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.64 : 11,434.12 = 2,944.20 : x
  2. Step 2: Convert to fraction form
    7,627.64/11,434.12 = 2,944.20/x
  3. Step 3: Cross multiply
    7,627.64x = 11,434.12 × 2,944.20
  4. Step 4: Simplify right side
    7,627.64x = 33,664,336.10
  5. Step 5: Solve for x
    x = 33,664,336.10/7,627.64
  6. Step 6: Final answer
    x = 4,413.47

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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.