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Finding the Fourth Proportional to 10,172.74, 14,038.29 and 5,696.44

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Solution

The fourth proportional to 10,172.74, 14,038.29 and 5,696.44 is: 7,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.74 : 14,038.29 = 5,696.44 : x
  2. Step 2: Convert to fraction form
    10,172.74/14,038.29 = 5,696.44/x
  3. Step 3: Cross multiply
    10,172.74x = 14,038.29 × 5,696.44
  4. Step 4: Simplify right side
    10,172.74x = 79,968,276.69
  5. Step 5: Solve for x
    x = 79,968,276.69/10,172.74
  6. Step 6: Final answer
    x = 7,861.04

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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.