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Finding the Fourth Proportional to 11,171.05, 15,416.15 and 6,135.38

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Solution

The fourth proportional to 11,171.05, 15,416.15 and 6,135.38 is: 8,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.05 : 15,416.15 = 6,135.38 : x
  2. Step 2: Convert to fraction form
    11,171.05/15,416.15 = 6,135.38/x
  3. Step 3: Cross multiply
    11,171.05x = 15,416.15 × 6,135.38
  4. Step 4: Simplify right side
    11,171.05x = 94,583,876.64
  5. Step 5: Solve for x
    x = 94,583,876.64/11,171.05
  6. Step 6: Final answer
    x = 8,466.88

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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.