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Finding the Fourth Proportional to 7,354.73, 11,038.34 and 3,198.08

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Solution

The fourth proportional to 7,354.73, 11,038.34 and 3,198.08 is: 4,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.73 : 11,038.34 = 3,198.08 : x
  2. Step 2: Convert to fraction form
    7,354.73/11,038.34 = 3,198.08/x
  3. Step 3: Cross multiply
    7,354.73x = 11,038.34 × 3,198.08
  4. Step 4: Simplify right side
    7,354.73x = 35,301,529.98
  5. Step 5: Solve for x
    x = 35,301,529.98/7,354.73
  6. Step 6: Final answer
    x = 4,799.84

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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.