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Finding the Fourth Proportional to 10,222.67, 15,324.93 and 3,981.24

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Solution

The fourth proportional to 10,222.67, 15,324.93 and 3,981.24 is: 5,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.67 : 15,324.93 = 3,981.24 : x
  2. Step 2: Convert to fraction form
    10,222.67/15,324.93 = 3,981.24/x
  3. Step 3: Cross multiply
    10,222.67x = 15,324.93 × 3,981.24
  4. Step 4: Simplify right side
    10,222.67x = 61,012,224.31
  5. Step 5: Solve for x
    x = 61,012,224.31/10,222.67
  6. Step 6: Final answer
    x = 5,968.32

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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.