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Finding the Fourth Proportional to 10,750.40, 16,122.96 and 3,824.96

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Solution

The fourth proportional to 10,750.40, 16,122.96 and 3,824.96 is: 5,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.40 : 16,122.96 = 3,824.96 : x
  2. Step 2: Convert to fraction form
    10,750.40/16,122.96 = 3,824.96/x
  3. Step 3: Cross multiply
    10,750.40x = 16,122.96 × 3,824.96
  4. Step 4: Simplify right side
    10,750.40x = 61,669,677.08
  5. Step 5: Solve for x
    x = 61,669,677.08/10,750.40
  6. Step 6: Final answer
    x = 5,736.50

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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.