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Finding the Fourth Proportional to 11,267.94, 16,902.87 and 2,947.94

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Solution

The fourth proportional to 11,267.94, 16,902.87 and 2,947.94 is: 4,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.94 : 16,902.87 = 2,947.94 : x
  2. Step 2: Convert to fraction form
    11,267.94/16,902.87 = 2,947.94/x
  3. Step 3: Cross multiply
    11,267.94x = 16,902.87 × 2,947.94
  4. Step 4: Simplify right side
    11,267.94x = 49,828,646.59
  5. Step 5: Solve for x
    x = 49,828,646.59/11,267.94
  6. Step 6: Final answer
    x = 4,422.16

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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.