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Finding the Fourth Proportional to 7,842.28, 11,759.77 and 2,911.81

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Solution

The fourth proportional to 7,842.28, 11,759.77 and 2,911.81 is: 4,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.28 : 11,759.77 = 2,911.81 : x
  2. Step 2: Convert to fraction form
    7,842.28/11,759.77 = 2,911.81/x
  3. Step 3: Cross multiply
    7,842.28x = 11,759.77 × 2,911.81
  4. Step 4: Simplify right side
    7,842.28x = 34,242,215.88
  5. Step 5: Solve for x
    x = 34,242,215.88/7,842.28
  6. Step 6: Final answer
    x = 4,366.36

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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.