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Finding the Fourth Proportional to 8,280.46, 11,426.43 and 4,694.38

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Solution

The fourth proportional to 8,280.46, 11,426.43 and 4,694.38 is: 6,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.46 : 11,426.43 = 4,694.38 : x
  2. Step 2: Convert to fraction form
    8,280.46/11,426.43 = 4,694.38/x
  3. Step 3: Cross multiply
    8,280.46x = 11,426.43 × 4,694.38
  4. Step 4: Simplify right side
    8,280.46x = 53,640,004.46
  5. Step 5: Solve for x
    x = 53,640,004.46/8,280.46
  6. Step 6: Final answer
    x = 6,477.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.