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Finding the Fourth Proportional to 7,638.80, 11,460.02 and 2,708.86

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Solution

The fourth proportional to 7,638.80, 11,460.02 and 2,708.86 is: 4,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.80 : 11,460.02 = 2,708.86 : x
  2. Step 2: Convert to fraction form
    7,638.80/11,460.02 = 2,708.86/x
  3. Step 3: Cross multiply
    7,638.80x = 11,460.02 × 2,708.86
  4. Step 4: Simplify right side
    7,638.80x = 31,043,589.78
  5. Step 5: Solve for x
    x = 31,043,589.78/7,638.80
  6. Step 6: Final answer
    x = 4,063.94

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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.