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Finding the Fourth Proportional to 8,173.67, 11,279.43 and 4,636.86

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Solution

The fourth proportional to 8,173.67, 11,279.43 and 4,636.86 is: 6,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.67 : 11,279.43 = 4,636.86 : x
  2. Step 2: Convert to fraction form
    8,173.67/11,279.43 = 4,636.86/x
  3. Step 3: Cross multiply
    8,173.67x = 11,279.43 × 4,636.86
  4. Step 4: Simplify right side
    8,173.67x = 52,301,137.79
  5. Step 5: Solve for x
    x = 52,301,137.79/8,173.67
  6. Step 6: Final answer
    x = 6,398.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.