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Finding the Fourth Proportional to 11,293, 16,923.10 and 8,012.50

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Solution

The fourth proportional to 11,293, 16,923.10 and 8,012.50 is: 12,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293 : 16,923.10 = 8,012.50 : x
  2. Step 2: Convert to fraction form
    11,293/16,923.10 = 8,012.50/x
  3. Step 3: Cross multiply
    11,293x = 16,923.10 × 8,012.50
  4. Step 4: Simplify right side
    11,293x = 135,596,338.75
  5. Step 5: Solve for x
    x = 135,596,338.75/11,293
  6. Step 6: Final answer
    x = 12,007.11

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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.