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Finding the Fourth Proportional to 27,548.16, 41,323.32 and 7,828.44

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Solution

The fourth proportional to 27,548.16, 41,323.32 and 7,828.44 is: 11,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548.16 : 41,323.32 = 7,828.44 : x
  2. Step 2: Convert to fraction form
    27,548.16/41,323.32 = 7,828.44/x
  3. Step 3: Cross multiply
    27,548.16x = 41,323.32 × 7,828.44
  4. Step 4: Simplify right side
    27,548.16x = 323,497,131.22
  5. Step 5: Solve for x
    x = 323,497,131.22/27,548.16
  6. Step 6: Final answer
    x = 11,742.97

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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.