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Finding the Fourth Proportional to 8,513.38, 11,748.69 and 5,156.80

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Solution

The fourth proportional to 8,513.38, 11,748.69 and 5,156.80 is: 7,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.38 : 11,748.69 = 5,156.80 : x
  2. Step 2: Convert to fraction form
    8,513.38/11,748.69 = 5,156.80/x
  3. Step 3: Cross multiply
    8,513.38x = 11,748.69 × 5,156.80
  4. Step 4: Simplify right side
    8,513.38x = 60,585,644.59
  5. Step 5: Solve for x
    x = 60,585,644.59/8,513.38
  6. Step 6: Final answer
    x = 7,116.52

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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.