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Finding the Fourth Proportional to 10,682.40, 16,024.40 and 2,891.08

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Solution

The fourth proportional to 10,682.40, 16,024.40 and 2,891.08 is: 4,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.40 : 16,024.40 = 2,891.08 : x
  2. Step 2: Convert to fraction form
    10,682.40/16,024.40 = 2,891.08/x
  3. Step 3: Cross multiply
    10,682.40x = 16,024.40 × 2,891.08
  4. Step 4: Simplify right side
    10,682.40x = 46,327,822.35
  5. Step 5: Solve for x
    x = 46,327,822.35/10,682.40
  6. Step 6: Final answer
    x = 4,336.84

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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.