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Finding the Fourth Proportional to 11,842.58, 17,763.71 and 3,409.29

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Solution

The fourth proportional to 11,842.58, 17,763.71 and 3,409.29 is: 5,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.58 : 17,763.71 = 3,409.29 : x
  2. Step 2: Convert to fraction form
    11,842.58/17,763.71 = 3,409.29/x
  3. Step 3: Cross multiply
    11,842.58x = 17,763.71 × 3,409.29
  4. Step 4: Simplify right side
    11,842.58x = 60,561,650.59
  5. Step 5: Solve for x
    x = 60,561,650.59/11,842.58
  6. Step 6: Final answer
    x = 5,113.89

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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.