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Finding the Fourth Proportional to 7,827.76, 11,735.50 and 3,880.39

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Solution

The fourth proportional to 7,827.76, 11,735.50 and 3,880.39 is: 5,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.76 : 11,735.50 = 3,880.39 : x
  2. Step 2: Convert to fraction form
    7,827.76/11,735.50 = 3,880.39/x
  3. Step 3: Cross multiply
    7,827.76x = 11,735.50 × 3,880.39
  4. Step 4: Simplify right side
    7,827.76x = 45,538,316.85
  5. Step 5: Solve for x
    x = 45,538,316.85/7,827.76
  6. Step 6: Final answer
    x = 5,817.54

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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.