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Finding the Fourth Proportional to 11,097.69, 16,641.32 and 4,072.80

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Solution

The fourth proportional to 11,097.69, 16,641.32 and 4,072.80 is: 6,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.69 : 16,641.32 = 4,072.80 : x
  2. Step 2: Convert to fraction form
    11,097.69/16,641.32 = 4,072.80/x
  3. Step 3: Cross multiply
    11,097.69x = 16,641.32 × 4,072.80
  4. Step 4: Simplify right side
    11,097.69x = 67,776,747.73
  5. Step 5: Solve for x
    x = 67,776,747.73/11,097.69
  6. Step 6: Final answer
    x = 6,107.29

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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.