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Finding the Fourth Proportional to 10,929.34, 16,394.73 and 3,138.22

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Solution

The fourth proportional to 10,929.34, 16,394.73 and 3,138.22 is: 4,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.34 : 16,394.73 = 3,138.22 : x
  2. Step 2: Convert to fraction form
    10,929.34/16,394.73 = 3,138.22/x
  3. Step 3: Cross multiply
    10,929.34x = 16,394.73 × 3,138.22
  4. Step 4: Simplify right side
    10,929.34x = 51,450,269.58
  5. Step 5: Solve for x
    x = 51,450,269.58/10,929.34
  6. Step 6: Final answer
    x = 4,707.54

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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.