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Finding the Fourth Proportional to 10,922.50, 16,379.59 and 3,901.20

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Solution

The fourth proportional to 10,922.50, 16,379.59 and 3,901.20 is: 5,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.50 : 16,379.59 = 3,901.20 : x
  2. Step 2: Convert to fraction form
    10,922.50/16,379.59 = 3,901.20/x
  3. Step 3: Cross multiply
    10,922.50x = 16,379.59 × 3,901.20
  4. Step 4: Simplify right side
    10,922.50x = 63,900,056.51
  5. Step 5: Solve for x
    x = 63,900,056.51/10,922.50
  6. Step 6: Final answer
    x = 5,850.31

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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.