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Finding the Fourth Proportional to 8,512.45, 11,747.13 and 4,684.32

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Solution

The fourth proportional to 8,512.45, 11,747.13 and 4,684.32 is: 6,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.45 : 11,747.13 = 4,684.32 : x
  2. Step 2: Convert to fraction form
    8,512.45/11,747.13 = 4,684.32/x
  3. Step 3: Cross multiply
    8,512.45x = 11,747.13 × 4,684.32
  4. Step 4: Simplify right side
    8,512.45x = 55,027,360.05
  5. Step 5: Solve for x
    x = 55,027,360.05/8,512.45
  6. Step 6: Final answer
    x = 6,464.34

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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.