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Finding the Fourth Proportional to 27,262.62, 40,894.73 and 7,542.63

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Solution

The fourth proportional to 27,262.62, 40,894.73 and 7,542.63 is: 11,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,262.62 : 40,894.73 = 7,542.63 : x
  2. Step 2: Convert to fraction form
    27,262.62/40,894.73 = 7,542.63/x
  3. Step 3: Cross multiply
    27,262.62x = 40,894.73 × 7,542.63
  4. Step 4: Simplify right side
    27,262.62x = 308,453,817.34
  5. Step 5: Solve for x
    x = 308,453,817.34/27,262.62
  6. Step 6: Final answer
    x = 11,314.17

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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.