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Finding the Fourth Proportional to 8,291.38, 11,438.24 and 4,932.31

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Solution

The fourth proportional to 8,291.38, 11,438.24 and 4,932.31 is: 6,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.38 : 11,438.24 = 4,932.31 : x
  2. Step 2: Convert to fraction form
    8,291.38/11,438.24 = 4,932.31/x
  3. Step 3: Cross multiply
    8,291.38x = 11,438.24 × 4,932.31
  4. Step 4: Simplify right side
    8,291.38x = 56,416,945.53
  5. Step 5: Solve for x
    x = 56,416,945.53/8,291.38
  6. Step 6: Final answer
    x = 6,804.29

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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.