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Finding the Fourth Proportional to 7,739.25, 11,608.88 and 4,276.50

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Solution

The fourth proportional to 7,739.25, 11,608.88 and 4,276.50 is: 6,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.25 : 11,608.88 = 4,276.50 : x
  2. Step 2: Convert to fraction form
    7,739.25/11,608.88 = 4,276.50/x
  3. Step 3: Cross multiply
    7,739.25x = 11,608.88 × 4,276.50
  4. Step 4: Simplify right side
    7,739.25x = 49,645,353.94
  5. Step 5: Solve for x
    x = 49,645,353.94/7,739.25
  6. Step 6: Final answer
    x = 6,414.75

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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.