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Finding the Fourth Proportional to 8,348.64, 11,513.52 and 5,989.92

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Solution

The fourth proportional to 8,348.64, 11,513.52 and 5,989.92 is: 8,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.64 : 11,513.52 = 5,989.92 : x
  2. Step 2: Convert to fraction form
    8,348.64/11,513.52 = 5,989.92/x
  3. Step 3: Cross multiply
    8,348.64x = 11,513.52 × 5,989.92
  4. Step 4: Simplify right side
    8,348.64x = 68,965,063.72
  5. Step 5: Solve for x
    x = 68,965,063.72/8,348.64
  6. Step 6: Final answer
    x = 8,260.63

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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.