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Finding the Fourth Proportional to 6,783.76, 10,172.20 and 2,400.60

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Solution

The fourth proportional to 6,783.76, 10,172.20 and 2,400.60 is: 3,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.76 : 10,172.20 = 2,400.60 : x
  2. Step 2: Convert to fraction form
    6,783.76/10,172.20 = 2,400.60/x
  3. Step 3: Cross multiply
    6,783.76x = 10,172.20 × 2,400.60
  4. Step 4: Simplify right side
    6,783.76x = 24,419,383.32
  5. Step 5: Solve for x
    x = 24,419,383.32/6,783.76
  6. Step 6: Final answer
    x = 3,599.68

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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.