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Finding the Fourth Proportional to 27,973.50, 41,953.80 and 7,982.61

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Solution

The fourth proportional to 27,973.50, 41,953.80 and 7,982.61 is: 11,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,973.50 : 41,953.80 = 7,982.61 : x
  2. Step 2: Convert to fraction form
    27,973.50/41,953.80 = 7,982.61/x
  3. Step 3: Cross multiply
    27,973.50x = 41,953.80 × 7,982.61
  4. Step 4: Simplify right side
    27,973.50x = 334,900,823.42
  5. Step 5: Solve for x
    x = 334,900,823.42/27,973.50
  6. Step 6: Final answer
    x = 11,972.07

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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.