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Finding the Fourth Proportional to 7,824.67, 10,797.91 and 4,287.80

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Solution

The fourth proportional to 7,824.67, 10,797.91 and 4,287.80 is: 5,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.67 : 10,797.91 = 4,287.80 : x
  2. Step 2: Convert to fraction form
    7,824.67/10,797.91 = 4,287.80/x
  3. Step 3: Cross multiply
    7,824.67x = 10,797.91 × 4,287.80
  4. Step 4: Simplify right side
    7,824.67x = 46,299,294.77
  5. Step 5: Solve for x
    x = 46,299,294.77/7,824.67
  6. Step 6: Final answer
    x = 5,917.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.