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Finding the Fourth Proportional to 8,383.36, 11,568.72 and 4,657.60

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Solution

The fourth proportional to 8,383.36, 11,568.72 and 4,657.60 is: 6,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.36 : 11,568.72 = 4,657.60 : x
  2. Step 2: Convert to fraction form
    8,383.36/11,568.72 = 4,657.60/x
  3. Step 3: Cross multiply
    8,383.36x = 11,568.72 × 4,657.60
  4. Step 4: Simplify right side
    8,383.36x = 53,882,470.27
  5. Step 5: Solve for x
    x = 53,882,470.27/8,383.36
  6. Step 6: Final answer
    x = 6,427.31

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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.