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Finding the Fourth Proportional to 11,674.32, 17,493.48 and 5,744.40

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Solution

The fourth proportional to 11,674.32, 17,493.48 and 5,744.40 is: 8,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.32 : 17,493.48 = 5,744.40 : x
  2. Step 2: Convert to fraction form
    11,674.32/17,493.48 = 5,744.40/x
  3. Step 3: Cross multiply
    11,674.32x = 17,493.48 × 5,744.40
  4. Step 4: Simplify right side
    11,674.32x = 100,489,546.51
  5. Step 5: Solve for x
    x = 100,489,546.51/11,674.32
  6. Step 6: Final answer
    x = 8,607.74

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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.