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Finding the Fourth Proportional to 10,859.40, 16,289.40 and 3,838.42

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Solution

The fourth proportional to 10,859.40, 16,289.40 and 3,838.42 is: 5,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.40 : 16,289.40 = 3,838.42 : x
  2. Step 2: Convert to fraction form
    10,859.40/16,289.40 = 3,838.42/x
  3. Step 3: Cross multiply
    10,859.40x = 16,289.40 × 3,838.42
  4. Step 4: Simplify right side
    10,859.40x = 62,525,593.50
  5. Step 5: Solve for x
    x = 62,525,593.50/10,859.40
  6. Step 6: Final answer
    x = 5,757.74

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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.