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Finding the Fourth Proportional to 8,383.13, 11,568.72 and 4,657.13

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Solution

The fourth proportional to 8,383.13, 11,568.72 and 4,657.13 is: 6,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.13 : 11,568.72 = 4,657.13 : x
  2. Step 2: Convert to fraction form
    8,383.13/11,568.72 = 4,657.13/x
  3. Step 3: Cross multiply
    8,383.13x = 11,568.72 × 4,657.13
  4. Step 4: Simplify right side
    8,383.13x = 53,876,975.13
  5. Step 5: Solve for x
    x = 53,876,975.13/8,383.13
  6. Step 6: Final answer
    x = 6,426.84

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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.