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Finding the Fourth Proportional to 10,963.50, 16,446.06 and 3,567.39

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Solution

The fourth proportional to 10,963.50, 16,446.06 and 3,567.39 is: 5,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.50 : 16,446.06 = 3,567.39 : x
  2. Step 2: Convert to fraction form
    10,963.50/16,446.06 = 3,567.39/x
  3. Step 3: Cross multiply
    10,963.50x = 16,446.06 × 3,567.39
  4. Step 4: Simplify right side
    10,963.50x = 58,669,509.98
  5. Step 5: Solve for x
    x = 58,669,509.98/10,963.50
  6. Step 6: Final answer
    x = 5,351.35

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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.