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Finding the Fourth Proportional to 27,588.04, 41,383.38 and 7,867.96

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Solution

The fourth proportional to 27,588.04, 41,383.38 and 7,867.96 is: 11,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588.04 : 41,383.38 = 7,867.96 : x
  2. Step 2: Convert to fraction form
    27,588.04/41,383.38 = 7,867.96/x
  3. Step 3: Cross multiply
    27,588.04x = 41,383.38 × 7,867.96
  4. Step 4: Simplify right side
    27,588.04x = 325,602,778.50
  5. Step 5: Solve for x
    x = 325,602,778.50/27,588.04
  6. Step 6: Final answer
    x = 11,802.32

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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.