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Finding the Fourth Proportional to 11,097.60, 16,642.50 and 3,198.00

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Solution

The fourth proportional to 11,097.60, 16,642.50 and 3,198.00 is: 4,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.60 : 16,642.50 = 3,198.00 : x
  2. Step 2: Convert to fraction form
    11,097.60/16,642.50 = 3,198.00/x
  3. Step 3: Cross multiply
    11,097.60x = 16,642.50 × 3,198.00
  4. Step 4: Simplify right side
    11,097.60x = 53,222,657.40
  5. Step 5: Solve for x
    x = 53,222,657.40/11,097.60
  6. Step 6: Final answer
    x = 4,795.87

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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.