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Finding the Fourth Proportional to 11,121.39, 16,684.83 and 7,840.89

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Solution

The fourth proportional to 11,121.39, 16,684.83 and 7,840.89 is: 11,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,121.39 : 16,684.83 = 7,840.89 : x
  2. Step 2: Convert to fraction form
    11,121.39/16,684.83 = 7,840.89/x
  3. Step 3: Cross multiply
    11,121.39x = 16,684.83 × 7,840.89
  4. Step 4: Simplify right side
    11,121.39x = 130,823,916.70
  5. Step 5: Solve for x
    x = 130,823,916.70/11,121.39
  6. Step 6: Final answer
    x = 11,763.27

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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.