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Finding the Fourth Proportional to 27,388.48, 41,078 and 7,662.40

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Solution

The fourth proportional to 27,388.48, 41,078 and 7,662.40 is: 11,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,388.48 : 41,078 = 7,662.40 : x
  2. Step 2: Convert to fraction form
    27,388.48/41,078 = 7,662.40/x
  3. Step 3: Cross multiply
    27,388.48x = 41,078 × 7,662.40
  4. Step 4: Simplify right side
    27,388.48x = 314,756,067.20
  5. Step 5: Solve for x
    x = 314,756,067.20/27,388.48
  6. Step 6: Final answer
    x = 11,492.28

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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.