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Finding the Fourth Proportional to 10,866.50, 16,297.19 and 2,967.14

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Solution

The fourth proportional to 10,866.50, 16,297.19 and 2,967.14 is: 4,450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.50 : 16,297.19 = 2,967.14 : x
  2. Step 2: Convert to fraction form
    10,866.50/16,297.19 = 2,967.14/x
  3. Step 3: Cross multiply
    10,866.50x = 16,297.19 × 2,967.14
  4. Step 4: Simplify right side
    10,866.50x = 48,355,962.85
  5. Step 5: Solve for x
    x = 48,355,962.85/10,866.50
  6. Step 6: Final answer
    x = 4,450.00

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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.