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Finding the Fourth Proportional to 27,852.65, 41,778.56 and 6,792.84

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Solution

The fourth proportional to 27,852.65, 41,778.56 and 6,792.84 is: 10,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.65 : 41,778.56 = 6,792.84 : x
  2. Step 2: Convert to fraction form
    27,852.65/41,778.56 = 6,792.84/x
  3. Step 3: Cross multiply
    27,852.65x = 41,778.56 × 6,792.84
  4. Step 4: Simplify right side
    27,852.65x = 283,795,039.55
  5. Step 5: Solve for x
    x = 283,795,039.55/27,852.65
  6. Step 6: Final answer
    x = 10,189.16

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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.