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Finding the Fourth Proportional to 8,369.33, 11,549.21 and 5,011.38

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Solution

The fourth proportional to 8,369.33, 11,549.21 and 5,011.38 is: 6,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.33 : 11,549.21 = 5,011.38 : x
  2. Step 2: Convert to fraction form
    8,369.33/11,549.21 = 5,011.38/x
  3. Step 3: Cross multiply
    8,369.33x = 11,549.21 × 5,011.38
  4. Step 4: Simplify right side
    8,369.33x = 57,877,454.95
  5. Step 5: Solve for x
    x = 57,877,454.95/8,369.33
  6. Step 6: Final answer
    x = 6,915.42

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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.