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Finding the Fourth Proportional to 11,357.45, 15,673.16 and 6,321.58

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Solution

The fourth proportional to 11,357.45, 15,673.16 and 6,321.58 is: 8,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.45 : 15,673.16 = 6,321.58 : x
  2. Step 2: Convert to fraction form
    11,357.45/15,673.16 = 6,321.58/x
  3. Step 3: Cross multiply
    11,357.45x = 15,673.16 × 6,321.58
  4. Step 4: Simplify right side
    11,357.45x = 99,079,134.79
  5. Step 5: Solve for x
    x = 99,079,134.79/11,357.45
  6. Step 6: Final answer
    x = 8,723.71

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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.