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Finding the Fourth Proportional to 10,683.12, 16,023.46 and 2,891.32

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Solution

The fourth proportional to 10,683.12, 16,023.46 and 2,891.32 is: 4,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.12 : 16,023.46 = 2,891.32 : x
  2. Step 2: Convert to fraction form
    10,683.12/16,023.46 = 2,891.32/x
  3. Step 3: Cross multiply
    10,683.12x = 16,023.46 × 2,891.32
  4. Step 4: Simplify right side
    10,683.12x = 46,328,949.50
  5. Step 5: Solve for x
    x = 46,328,949.50/10,683.12
  6. Step 6: Final answer
    x = 4,336.65

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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.