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Finding the Fourth Proportional to 10,172.10, 14,035.88 and 5,696.04

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Solution

The fourth proportional to 10,172.10, 14,035.88 and 5,696.04 is: 7,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.10 : 14,035.88 = 5,696.04 : x
  2. Step 2: Convert to fraction form
    10,172.10/14,035.88 = 5,696.04/x
  3. Step 3: Cross multiply
    10,172.10x = 14,035.88 × 5,696.04
  4. Step 4: Simplify right side
    10,172.10x = 79,948,905.44
  5. Step 5: Solve for x
    x = 79,948,905.44/10,172.10
  6. Step 6: Final answer
    x = 7,859.63

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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.