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Finding the Fourth Proportional to 8,457.56, 11,674.13 and 5,940.29

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Solution

The fourth proportional to 8,457.56, 11,674.13 and 5,940.29 is: 8,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.56 : 11,674.13 = 5,940.29 : x
  2. Step 2: Convert to fraction form
    8,457.56/11,674.13 = 5,940.29/x
  3. Step 3: Cross multiply
    8,457.56x = 11,674.13 × 5,940.29
  4. Step 4: Simplify right side
    8,457.56x = 69,347,629.63
  5. Step 5: Solve for x
    x = 69,347,629.63/8,457.56
  6. Step 6: Final answer
    x = 8,199.49

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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.