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Finding the Fourth Proportional to 7,121.17, 10,672.44 and 3,827.17

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Solution

The fourth proportional to 7,121.17, 10,672.44 and 3,827.17 is: 5,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.17 : 10,672.44 = 3,827.17 : x
  2. Step 2: Convert to fraction form
    7,121.17/10,672.44 = 3,827.17/x
  3. Step 3: Cross multiply
    7,121.17x = 10,672.44 × 3,827.17
  4. Step 4: Simplify right side
    7,121.17x = 40,845,242.19
  5. Step 5: Solve for x
    x = 40,845,242.19/7,121.17
  6. Step 6: Final answer
    x = 5,735.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.