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Finding the Fourth Proportional to 8,185.73, 11,296.31 and 4,600.71

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Solution

The fourth proportional to 8,185.73, 11,296.31 and 4,600.71 is: 6,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.73 : 11,296.31 = 4,600.71 : x
  2. Step 2: Convert to fraction form
    8,185.73/11,296.31 = 4,600.71/x
  3. Step 3: Cross multiply
    8,185.73x = 11,296.31 × 4,600.71
  4. Step 4: Simplify right side
    8,185.73x = 51,971,023.38
  5. Step 5: Solve for x
    x = 51,971,023.38/8,185.73
  6. Step 6: Final answer
    x = 6,348.98

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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.