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Finding the Fourth Proportional to 11,762.30, 17,638.31 and 3,442.14

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Solution

The fourth proportional to 11,762.30, 17,638.31 and 3,442.14 is: 5,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.30 : 17,638.31 = 3,442.14 : x
  2. Step 2: Convert to fraction form
    11,762.30/17,638.31 = 3,442.14/x
  3. Step 3: Cross multiply
    11,762.30x = 17,638.31 × 3,442.14
  4. Step 4: Simplify right side
    11,762.30x = 60,713,515.17
  5. Step 5: Solve for x
    x = 60,713,515.17/11,762.30
  6. Step 6: Final answer
    x = 5,161.71

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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.