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Finding the Fourth Proportional to 10,222, 14,106.36 and 5,745.70

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Solution

The fourth proportional to 10,222, 14,106.36 and 5,745.70 is: 7,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222 : 14,106.36 = 5,745.70 : x
  2. Step 2: Convert to fraction form
    10,222/14,106.36 = 5,745.70/x
  3. Step 3: Cross multiply
    10,222x = 14,106.36 × 5,745.70
  4. Step 4: Simplify right side
    10,222x = 81,050,912.65
  5. Step 5: Solve for x
    x = 81,050,912.65/10,222
  6. Step 6: Final answer
    x = 7,929.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.