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Finding the Fourth Proportional to 11,827.95, 17,742 and 3,508.04

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Solution

The fourth proportional to 11,827.95, 17,742 and 3,508.04 is: 5,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.95 : 17,742 = 3,508.04 : x
  2. Step 2: Convert to fraction form
    11,827.95/17,742 = 3,508.04/x
  3. Step 3: Cross multiply
    11,827.95x = 17,742 × 3,508.04
  4. Step 4: Simplify right side
    11,827.95x = 62,239,556.97
  5. Step 5: Solve for x
    x = 62,239,556.97/11,827.95
  6. Step 6: Final answer
    x = 5,262.07

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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.