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Finding the Fourth Proportional to 10,172.88, 14,039.22 and 5,696.46

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Solution

The fourth proportional to 10,172.88, 14,039.22 and 5,696.46 is: 7,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.88 : 14,039.22 = 5,696.46 : x
  2. Step 2: Convert to fraction form
    10,172.88/14,039.22 = 5,696.46/x
  3. Step 3: Cross multiply
    10,172.88x = 14,039.22 × 5,696.46
  4. Step 4: Simplify right side
    10,172.88x = 79,973,855.16
  5. Step 5: Solve for x
    x = 79,973,855.16/10,172.88
  6. Step 6: Final answer
    x = 7,861.48

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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.