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Finding the Fourth Proportional to 8,512.56, 11,747.92 and 4,736

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Solution

The fourth proportional to 8,512.56, 11,747.92 and 4,736 is: 6,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.56 : 11,747.92 = 4,736 : x
  2. Step 2: Convert to fraction form
    8,512.56/11,747.92 = 4,736/x
  3. Step 3: Cross multiply
    8,512.56x = 11,747.92 × 4,736
  4. Step 4: Simplify right side
    8,512.56x = 55,638,149.12
  5. Step 5: Solve for x
    x = 55,638,149.12/8,512.56
  6. Step 6: Final answer
    x = 6,536.01

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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.