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Finding the Fourth Proportional to 27,582.84, 41,361.98 and 7,856.73

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Solution

The fourth proportional to 27,582.84, 41,361.98 and 7,856.73 is: 11,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582.84 : 41,361.98 = 7,856.73 : x
  2. Step 2: Convert to fraction form
    27,582.84/41,361.98 = 7,856.73/x
  3. Step 3: Cross multiply
    27,582.84x = 41,361.98 × 7,856.73
  4. Step 4: Simplify right side
    27,582.84x = 324,969,869.84
  5. Step 5: Solve for x
    x = 324,969,869.84/27,582.84
  6. Step 6: Final answer
    x = 11,781.60

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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.