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Finding the Fourth Proportional to 10,795, 16,199.79 and 4,220.36

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Solution

The fourth proportional to 10,795, 16,199.79 and 4,220.36 is: 6,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795 : 16,199.79 = 4,220.36 : x
  2. Step 2: Convert to fraction form
    10,795/16,199.79 = 4,220.36/x
  3. Step 3: Cross multiply
    10,795x = 16,199.79 × 4,220.36
  4. Step 4: Simplify right side
    10,795x = 68,368,945.72
  5. Step 5: Solve for x
    x = 68,368,945.72/10,795
  6. Step 6: Final answer
    x = 6,333.39

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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.