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Finding the Fourth Proportional to 11,562, 16,021.50 and 10,859.73

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Solution

The fourth proportional to 11,562, 16,021.50 and 10,859.73 is: 15,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562 : 16,021.50 = 10,859.73 : x
  2. Step 2: Convert to fraction form
    11,562/16,021.50 = 10,859.73/x
  3. Step 3: Cross multiply
    11,562x = 16,021.50 × 10,859.73
  4. Step 4: Simplify right side
    11,562x = 173,989,164.20
  5. Step 5: Solve for x
    x = 173,989,164.20/11,562
  6. Step 6: Final answer
    x = 15,048.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.