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Finding the Fourth Proportional to 7,644.83, 11,471.04 and 2,968.07

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Solution

The fourth proportional to 7,644.83, 11,471.04 and 2,968.07 is: 4,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.83 : 11,471.04 = 2,968.07 : x
  2. Step 2: Convert to fraction form
    7,644.83/11,471.04 = 2,968.07/x
  3. Step 3: Cross multiply
    7,644.83x = 11,471.04 × 2,968.07
  4. Step 4: Simplify right side
    7,644.83x = 34,046,792.34
  5. Step 5: Solve for x
    x = 34,046,792.34/7,644.83
  6. Step 6: Final answer
    x = 4,453.57

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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.