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Finding the Fourth Proportional to 10,757, 16,136.11 and 3,831.50

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Solution

The fourth proportional to 10,757, 16,136.11 and 3,831.50 is: 5,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757 : 16,136.11 = 3,831.50 : x
  2. Step 2: Convert to fraction form
    10,757/16,136.11 = 3,831.50/x
  3. Step 3: Cross multiply
    10,757x = 16,136.11 × 3,831.50
  4. Step 4: Simplify right side
    10,757x = 61,825,505.47
  5. Step 5: Solve for x
    x = 61,825,505.47/10,757
  6. Step 6: Final answer
    x = 5,747.47

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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.