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Finding the Fourth Proportional to 8,354.10, 12,532.08 and 2,807.82

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Solution

The fourth proportional to 8,354.10, 12,532.08 and 2,807.82 is: 4,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.10 : 12,532.08 = 2,807.82 : x
  2. Step 2: Convert to fraction form
    8,354.10/12,532.08 = 2,807.82/x
  3. Step 3: Cross multiply
    8,354.10x = 12,532.08 × 2,807.82
  4. Step 4: Simplify right side
    8,354.10x = 35,187,824.87
  5. Step 5: Solve for x
    x = 35,187,824.87/8,354.10
  6. Step 6: Final answer
    x = 4,212.04

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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.