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Finding the Fourth Proportional to 10,172.33, 14,037.83 and 5,696.15

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Solution

The fourth proportional to 10,172.33, 14,037.83 and 5,696.15 is: 7,860.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.33 : 14,037.83 = 5,696.15 : x
  2. Step 2: Convert to fraction form
    10,172.33/14,037.83 = 5,696.15/x
  3. Step 3: Cross multiply
    10,172.33x = 14,037.83 × 5,696.15
  4. Step 4: Simplify right side
    10,172.33x = 79,961,529.41
  5. Step 5: Solve for x
    x = 79,961,529.41/10,172.33
  6. Step 6: Final answer
    x = 7,860.69

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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.