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Finding the Fourth Proportional to 7,824.54, 10,798.12 and 4,287.97

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Solution

The fourth proportional to 7,824.54, 10,798.12 and 4,287.97 is: 5,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.54 : 10,798.12 = 4,287.97 : x
  2. Step 2: Convert to fraction form
    7,824.54/10,798.12 = 4,287.97/x
  3. Step 3: Cross multiply
    7,824.54x = 10,798.12 × 4,287.97
  4. Step 4: Simplify right side
    7,824.54x = 46,302,014.62
  5. Step 5: Solve for x
    x = 46,302,014.62/7,824.54
  6. Step 6: Final answer
    x = 5,917.54

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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.