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Finding the Fourth Proportional to 8,452.38, 11,665 and 4,915.82

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Solution

The fourth proportional to 8,452.38, 11,665 and 4,915.82 is: 6,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.38 : 11,665 = 4,915.82 : x
  2. Step 2: Convert to fraction form
    8,452.38/11,665 = 4,915.82/x
  3. Step 3: Cross multiply
    8,452.38x = 11,665 × 4,915.82
  4. Step 4: Simplify right side
    8,452.38x = 57,343,040.30
  5. Step 5: Solve for x
    x = 57,343,040.30/8,452.38
  6. Step 6: Final answer
    x = 6,784.25

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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.