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Finding the Fourth Proportional to 11,082.86, 16,634 and 6,158.06

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Solution

The fourth proportional to 11,082.86, 16,634 and 6,158.06 is: 9,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.86 : 16,634 = 6,158.06 : x
  2. Step 2: Convert to fraction form
    11,082.86/16,634 = 6,158.06/x
  3. Step 3: Cross multiply
    11,082.86x = 16,634 × 6,158.06
  4. Step 4: Simplify right side
    11,082.86x = 102,433,170.04
  5. Step 5: Solve for x
    x = 102,433,170.04/11,082.86
  6. Step 6: Final answer
    x = 9,242.49

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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.