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Finding the Fourth Proportional to 11,351.38, 15,664.51 and 6,246.42

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Solution

The fourth proportional to 11,351.38, 15,664.51 and 6,246.42 is: 8,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.38 : 15,664.51 = 6,246.42 : x
  2. Step 2: Convert to fraction form
    11,351.38/15,664.51 = 6,246.42/x
  3. Step 3: Cross multiply
    11,351.38x = 15,664.51 × 6,246.42
  4. Step 4: Simplify right side
    11,351.38x = 97,847,040.05
  5. Step 5: Solve for x
    x = 97,847,040.05/11,351.38
  6. Step 6: Final answer
    x = 8,619.84

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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.