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Finding the Fourth Proportional to 7,354.87, 11,038.52 and 3,198.19

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Solution

The fourth proportional to 7,354.87, 11,038.52 and 3,198.19 is: 4,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.87 : 11,038.52 = 3,198.19 : x
  2. Step 2: Convert to fraction form
    7,354.87/11,038.52 = 3,198.19/x
  3. Step 3: Cross multiply
    7,354.87x = 11,038.52 × 3,198.19
  4. Step 4: Simplify right side
    7,354.87x = 35,303,284.28
  5. Step 5: Solve for x
    x = 35,303,284.28/7,354.87
  6. Step 6: Final answer
    x = 4,799.99

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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.