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Finding the Fourth Proportional to 11,124.50, 16,673.79 and 6,191.78

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Solution

The fourth proportional to 11,124.50, 16,673.79 and 6,191.78 is: 9,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.50 : 16,673.79 = 6,191.78 : x
  2. Step 2: Convert to fraction form
    11,124.50/16,673.79 = 6,191.78/x
  3. Step 3: Cross multiply
    11,124.50x = 16,673.79 × 6,191.78
  4. Step 4: Simplify right side
    11,124.50x = 103,240,439.45
  5. Step 5: Solve for x
    x = 103,240,439.45/11,124.50
  6. Step 6: Final answer
    x = 9,280.46

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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.