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Finding the Fourth Proportional to 10,883.60, 16,328.10 and 3,092.40

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Solution

The fourth proportional to 10,883.60, 16,328.10 and 3,092.40 is: 4,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.60 : 16,328.10 = 3,092.40 : x
  2. Step 2: Convert to fraction form
    10,883.60/16,328.10 = 3,092.40/x
  3. Step 3: Cross multiply
    10,883.60x = 16,328.10 × 3,092.40
  4. Step 4: Simplify right side
    10,883.60x = 50,493,016.44
  5. Step 5: Solve for x
    x = 50,493,016.44/10,883.60
  6. Step 6: Final answer
    x = 4,639.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.