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Finding the Fourth Proportional to 11,158.86, 15,399.66 and 6,123.29

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Solution

The fourth proportional to 11,158.86, 15,399.66 and 6,123.29 is: 8,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158.86 : 15,399.66 = 6,123.29 : x
  2. Step 2: Convert to fraction form
    11,158.86/15,399.66 = 6,123.29/x
  3. Step 3: Cross multiply
    11,158.86x = 15,399.66 × 6,123.29
  4. Step 4: Simplify right side
    11,158.86x = 94,296,584.08
  5. Step 5: Solve for x
    x = 94,296,584.08/11,158.86
  6. Step 6: Final answer
    x = 8,450.38

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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.