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Finding the Fourth Proportional to 8,230.38, 11,347.95 and 5,714.58

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Solution

The fourth proportional to 8,230.38, 11,347.95 and 5,714.58 is: 7,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.38 : 11,347.95 = 5,714.58 : x
  2. Step 2: Convert to fraction form
    8,230.38/11,347.95 = 5,714.58/x
  3. Step 3: Cross multiply
    8,230.38x = 11,347.95 × 5,714.58
  4. Step 4: Simplify right side
    8,230.38x = 64,848,768.11
  5. Step 5: Solve for x
    x = 64,848,768.11/8,230.38
  6. Step 6: Final answer
    x = 7,879.19

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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.