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Finding the Fourth Proportional to 11,097.72, 16,640.83 and 4,075.93

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Solution

The fourth proportional to 11,097.72, 16,640.83 and 4,075.93 is: 6,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.72 : 16,640.83 = 4,075.93 : x
  2. Step 2: Convert to fraction form
    11,097.72/16,640.83 = 4,075.93/x
  3. Step 3: Cross multiply
    11,097.72x = 16,640.83 × 4,075.93
  4. Step 4: Simplify right side
    11,097.72x = 67,826,858.22
  5. Step 5: Solve for x
    x = 67,826,858.22/11,097.72
  6. Step 6: Final answer
    x = 6,111.78

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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.