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Finding the Fourth Proportional to 10,172.35, 14,036.22 and 5,696.29

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Solution

The fourth proportional to 10,172.35, 14,036.22 and 5,696.29 is: 7,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.35 : 14,036.22 = 5,696.29 : x
  2. Step 2: Convert to fraction form
    10,172.35/14,036.22 = 5,696.29/x
  3. Step 3: Cross multiply
    10,172.35x = 14,036.22 × 5,696.29
  4. Step 4: Simplify right side
    10,172.35x = 79,954,379.62
  5. Step 5: Solve for x
    x = 79,954,379.62/10,172.35
  6. Step 6: Final answer
    x = 7,859.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.