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Finding the Fourth Proportional to 11,576.38, 15,975.54 and 6,859.75

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Solution

The fourth proportional to 11,576.38, 15,975.54 and 6,859.75 is: 9,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.38 : 15,975.54 = 6,859.75 : x
  2. Step 2: Convert to fraction form
    11,576.38/15,975.54 = 6,859.75/x
  3. Step 3: Cross multiply
    11,576.38x = 15,975.54 × 6,859.75
  4. Step 4: Simplify right side
    11,576.38x = 109,588,210.52
  5. Step 5: Solve for x
    x = 109,588,210.52/11,576.38
  6. Step 6: Final answer
    x = 9,466.54

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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.