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Finding the Fourth Proportional to 8,431.64, 11,638.77 and 5,074.61

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Solution

The fourth proportional to 8,431.64, 11,638.77 and 5,074.61 is: 7,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.64 : 11,638.77 = 5,074.61 : x
  2. Step 2: Convert to fraction form
    8,431.64/11,638.77 = 5,074.61/x
  3. Step 3: Cross multiply
    8,431.64x = 11,638.77 × 5,074.61
  4. Step 4: Simplify right side
    8,431.64x = 59,062,218.63
  5. Step 5: Solve for x
    x = 59,062,218.63/8,431.64
  6. Step 6: Final answer
    x = 7,004.83

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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.