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Finding the Fourth Proportional to 11,171.38, 15,416.46 and 6,135.42

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Solution

The fourth proportional to 11,171.38, 15,416.46 and 6,135.42 is: 8,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.38 : 15,416.46 = 6,135.42 : x
  2. Step 2: Convert to fraction form
    11,171.38/15,416.46 = 6,135.42/x
  3. Step 3: Cross multiply
    11,171.38x = 15,416.46 × 6,135.42
  4. Step 4: Simplify right side
    11,171.38x = 94,586,457.01
  5. Step 5: Solve for x
    x = 94,586,457.01/11,171.38
  6. Step 6: Final answer
    x = 8,466.86

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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.