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Finding the Fourth Proportional to 11,638.60, 17,426.90 and 7,948.03

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Solution

The fourth proportional to 11,638.60, 17,426.90 and 7,948.03 is: 11,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.60 : 17,426.90 = 7,948.03 : x
  2. Step 2: Convert to fraction form
    11,638.60/17,426.90 = 7,948.03/x
  3. Step 3: Cross multiply
    11,638.60x = 17,426.90 × 7,948.03
  4. Step 4: Simplify right side
    11,638.60x = 138,509,524.01
  5. Step 5: Solve for x
    x = 138,509,524.01/11,638.60
  6. Step 6: Final answer
    x = 11,900.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.