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Finding the Fourth Proportional to 8,447.28, 11,659.92 and 5,798.40

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Solution

The fourth proportional to 8,447.28, 11,659.92 and 5,798.40 is: 8,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.28 : 11,659.92 = 5,798.40 : x
  2. Step 2: Convert to fraction form
    8,447.28/11,659.92 = 5,798.40/x
  3. Step 3: Cross multiply
    8,447.28x = 11,659.92 × 5,798.40
  4. Step 4: Simplify right side
    8,447.28x = 67,608,880.13
  5. Step 5: Solve for x
    x = 67,608,880.13/8,447.28
  6. Step 6: Final answer
    x = 8,003.63

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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.