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Finding the Fourth Proportional to 11,714.38, 16,160.42 and 6,743.50

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Solution

The fourth proportional to 11,714.38, 16,160.42 and 6,743.50 is: 9,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.38 : 16,160.42 = 6,743.50 : x
  2. Step 2: Convert to fraction form
    11,714.38/16,160.42 = 6,743.50/x
  3. Step 3: Cross multiply
    11,714.38x = 16,160.42 × 6,743.50
  4. Step 4: Simplify right side
    11,714.38x = 108,977,792.27
  5. Step 5: Solve for x
    x = 108,977,792.27/11,714.38
  6. Step 6: Final answer
    x = 9,302.91

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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.