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Finding the Fourth Proportional to 8,179.42, 11,287.17 and 4,643.77

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Solution

The fourth proportional to 8,179.42, 11,287.17 and 4,643.77 is: 6,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.42 : 11,287.17 = 4,643.77 : x
  2. Step 2: Convert to fraction form
    8,179.42/11,287.17 = 4,643.77/x
  3. Step 3: Cross multiply
    8,179.42x = 11,287.17 × 4,643.77
  4. Step 4: Simplify right side
    8,179.42x = 52,415,021.43
  5. Step 5: Solve for x
    x = 52,415,021.43/8,179.42
  6. Step 6: Final answer
    x = 6,408.16

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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.