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Finding the Fourth Proportional to 10,965.63, 16,454.93 and 4,044.99

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Solution

The fourth proportional to 10,965.63, 16,454.93 and 4,044.99 is: 6,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.63 : 16,454.93 = 4,044.99 : x
  2. Step 2: Convert to fraction form
    10,965.63/16,454.93 = 4,044.99/x
  3. Step 3: Cross multiply
    10,965.63x = 16,454.93 × 4,044.99
  4. Step 4: Simplify right side
    10,965.63x = 66,560,027.30
  5. Step 5: Solve for x
    x = 66,560,027.30/10,965.63
  6. Step 6: Final answer
    x = 6,069.88

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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.