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Finding the Fourth Proportional to 10,952.70, 16,429.34 and 3,161.50

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Solution

The fourth proportional to 10,952.70, 16,429.34 and 3,161.50 is: 4,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.70 : 16,429.34 = 3,161.50 : x
  2. Step 2: Convert to fraction form
    10,952.70/16,429.34 = 3,161.50/x
  3. Step 3: Cross multiply
    10,952.70x = 16,429.34 × 3,161.50
  4. Step 4: Simplify right side
    10,952.70x = 51,941,358.41
  5. Step 5: Solve for x
    x = 51,941,358.41/10,952.70
  6. Step 6: Final answer
    x = 4,742.33

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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.