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Finding the Fourth Proportional to 8,638.24, 11,922.64 and 5,100

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Solution

The fourth proportional to 8,638.24, 11,922.64 and 5,100 is: 7,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.24 : 11,922.64 = 5,100 : x
  2. Step 2: Convert to fraction form
    8,638.24/11,922.64 = 5,100/x
  3. Step 3: Cross multiply
    8,638.24x = 11,922.64 × 5,100
  4. Step 4: Simplify right side
    8,638.24x = 60,805,464
  5. Step 5: Solve for x
    x = 60,805,464/8,638.24
  6. Step 6: Final answer
    x = 7,039.10

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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.