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Finding the Fourth Proportional to 6,872.63, 10,308.42 and 2,192.45

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Solution

The fourth proportional to 6,872.63, 10,308.42 and 2,192.45 is: 3,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.63 : 10,308.42 = 2,192.45 : x
  2. Step 2: Convert to fraction form
    6,872.63/10,308.42 = 2,192.45/x
  3. Step 3: Cross multiply
    6,872.63x = 10,308.42 × 2,192.45
  4. Step 4: Simplify right side
    6,872.63x = 22,600,643.89
  5. Step 5: Solve for x
    x = 22,600,643.89/6,872.63
  6. Step 6: Final answer
    x = 3,288.50

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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.