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Finding the Fourth Proportional to 27,654.82, 41,483.14 and 7,664.27

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Solution

The fourth proportional to 27,654.82, 41,483.14 and 7,664.27 is: 11,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.82 : 41,483.14 = 7,664.27 : x
  2. Step 2: Convert to fraction form
    27,654.82/41,483.14 = 7,664.27/x
  3. Step 3: Cross multiply
    27,654.82x = 41,483.14 × 7,664.27
  4. Step 4: Simplify right side
    27,654.82x = 317,937,992.17
  5. Step 5: Solve for x
    x = 317,937,992.17/27,654.82
  6. Step 6: Final answer
    x = 11,496.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.