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Finding the Fourth Proportional to 11,238, 16,859.70 and 4,312.50

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Solution

The fourth proportional to 11,238, 16,859.70 and 4,312.50 is: 6,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238 : 16,859.70 = 4,312.50 : x
  2. Step 2: Convert to fraction form
    11,238/16,859.70 = 4,312.50/x
  3. Step 3: Cross multiply
    11,238x = 16,859.70 × 4,312.50
  4. Step 4: Simplify right side
    11,238x = 72,707,456.25
  5. Step 5: Solve for x
    x = 72,707,456.25/11,238
  6. Step 6: Final answer
    x = 6,469.79

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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.