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Finding the Fourth Proportional to 27,699.68, 41,539.79 and 7,972.94

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Solution

The fourth proportional to 27,699.68, 41,539.79 and 7,972.94 is: 11,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,699.68 : 41,539.79 = 7,972.94 : x
  2. Step 2: Convert to fraction form
    27,699.68/41,539.79 = 7,972.94/x
  3. Step 3: Cross multiply
    27,699.68x = 41,539.79 × 7,972.94
  4. Step 4: Simplify right side
    27,699.68x = 331,194,005.72
  5. Step 5: Solve for x
    x = 331,194,005.72/27,699.68
  6. Step 6: Final answer
    x = 11,956.60

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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.