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Finding the Fourth Proportional to 7,600.64, 11,402.20 and 2,668.96

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Solution

The fourth proportional to 7,600.64, 11,402.20 and 2,668.96 is: 4,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.64 : 11,402.20 = 2,668.96 : x
  2. Step 2: Convert to fraction form
    7,600.64/11,402.20 = 2,668.96/x
  3. Step 3: Cross multiply
    7,600.64x = 11,402.20 × 2,668.96
  4. Step 4: Simplify right side
    7,600.64x = 30,432,015.71
  5. Step 5: Solve for x
    x = 30,432,015.71/7,600.64
  6. Step 6: Final answer
    x = 4,003.88

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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.