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Finding the Fourth Proportional to 8,459.41, 11,674.71 and 4,922.38

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Solution

The fourth proportional to 8,459.41, 11,674.71 and 4,922.38 is: 6,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.41 : 11,674.71 = 4,922.38 : x
  2. Step 2: Convert to fraction form
    8,459.41/11,674.71 = 4,922.38/x
  3. Step 3: Cross multiply
    8,459.41x = 11,674.71 × 4,922.38
  4. Step 4: Simplify right side
    8,459.41x = 57,467,359.01
  5. Step 5: Solve for x
    x = 57,467,359.01/8,459.41
  6. Step 6: Final answer
    x = 6,793.31

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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.