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Finding the Fourth Proportional to 11,614.49, 16,029.05 and 6,581.01

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Solution

The fourth proportional to 11,614.49, 16,029.05 and 6,581.01 is: 9,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.49 : 16,029.05 = 6,581.01 : x
  2. Step 2: Convert to fraction form
    11,614.49/16,029.05 = 6,581.01/x
  3. Step 3: Cross multiply
    11,614.49x = 16,029.05 × 6,581.01
  4. Step 4: Simplify right side
    11,614.49x = 105,487,305.44
  5. Step 5: Solve for x
    x = 105,487,305.44/11,614.49
  6. Step 6: Final answer
    x = 9,082.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.