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Finding the Fourth Proportional to 10,863.92, 16,310.32 and 6,970.16

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Solution

The fourth proportional to 10,863.92, 16,310.32 and 6,970.16 is: 10,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.92 : 16,310.32 = 6,970.16 : x
  2. Step 2: Convert to fraction form
    10,863.92/16,310.32 = 6,970.16/x
  3. Step 3: Cross multiply
    10,863.92x = 16,310.32 × 6,970.16
  4. Step 4: Simplify right side
    10,863.92x = 113,685,540.05
  5. Step 5: Solve for x
    x = 113,685,540.05/10,863.92
  6. Step 6: Final answer
    x = 10,464.50

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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.