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Finding the Fourth Proportional to 11,585.96, 17,378.96 and 2,820.88

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Solution

The fourth proportional to 11,585.96, 17,378.96 and 2,820.88 is: 4,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.96 : 17,378.96 = 2,820.88 : x
  2. Step 2: Convert to fraction form
    11,585.96/17,378.96 = 2,820.88/x
  3. Step 3: Cross multiply
    11,585.96x = 17,378.96 × 2,820.88
  4. Step 4: Simplify right side
    11,585.96x = 49,023,960.68
  5. Step 5: Solve for x
    x = 49,023,960.68/11,585.96
  6. Step 6: Final answer
    x = 4,231.32

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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.