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Finding the Fourth Proportional to 10,890, 16,285.16 and 8,118.56

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Solution

The fourth proportional to 10,890, 16,285.16 and 8,118.56 is: 12,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890 : 16,285.16 = 8,118.56 : x
  2. Step 2: Convert to fraction form
    10,890/16,285.16 = 8,118.56/x
  3. Step 3: Cross multiply
    10,890x = 16,285.16 × 8,118.56
  4. Step 4: Simplify right side
    10,890x = 132,212,048.57
  5. Step 5: Solve for x
    x = 132,212,048.57/10,890
  6. Step 6: Final answer
    x = 12,140.68

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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.