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Finding the Fourth Proportional to 11,333, 17,000.46 and 3,125

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Solution

The fourth proportional to 11,333, 17,000.46 and 3,125 is: 4,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333 : 17,000.46 = 3,125 : x
  2. Step 2: Convert to fraction form
    11,333/17,000.46 = 3,125/x
  3. Step 3: Cross multiply
    11,333x = 17,000.46 × 3,125
  4. Step 4: Simplify right side
    11,333x = 53,126,437.50
  5. Step 5: Solve for x
    x = 53,126,437.50/11,333
  6. Step 6: Final answer
    x = 4,687.76

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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.