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Finding the Fourth Proportional to 8,629.44, 11,881.92 and 6,508

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Solution

The fourth proportional to 8,629.44, 11,881.92 and 6,508 is: 8,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.44 : 11,881.92 = 6,508 : x
  2. Step 2: Convert to fraction form
    8,629.44/11,881.92 = 6,508/x
  3. Step 3: Cross multiply
    8,629.44x = 11,881.92 × 6,508
  4. Step 4: Simplify right side
    8,629.44x = 77,327,535.36
  5. Step 5: Solve for x
    x = 77,327,535.36/8,629.44
  6. Step 6: Final answer
    x = 8,960.90

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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.