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Finding the Fourth Proportional to 7,193.83, 10,778.87 and 3,289.63

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Solution

The fourth proportional to 7,193.83, 10,778.87 and 3,289.63 is: 4,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.83 : 10,778.87 = 3,289.63 : x
  2. Step 2: Convert to fraction form
    7,193.83/10,778.87 = 3,289.63/x
  3. Step 3: Cross multiply
    7,193.83x = 10,778.87 × 3,289.63
  4. Step 4: Simplify right side
    7,193.83x = 35,458,497.31
  5. Step 5: Solve for x
    x = 35,458,497.31/7,193.83
  6. Step 6: Final answer
    x = 4,929.01

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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.