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Finding the Fourth Proportional to 10,975.50, 16,463.25 and 3,184.52

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Solution

The fourth proportional to 10,975.50, 16,463.25 and 3,184.52 is: 4,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.50 : 16,463.25 = 3,184.52 : x
  2. Step 2: Convert to fraction form
    10,975.50/16,463.25 = 3,184.52/x
  3. Step 3: Cross multiply
    10,975.50x = 16,463.25 × 3,184.52
  4. Step 4: Simplify right side
    10,975.50x = 52,427,466.57
  5. Step 5: Solve for x
    x = 52,427,466.57/10,975.50
  6. Step 6: Final answer
    x = 4,776.77

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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.