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Finding the Fourth Proportional to 8,431.89, 11,633.43 and 4,894.41

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Solution

The fourth proportional to 8,431.89, 11,633.43 and 4,894.41 is: 6,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.89 : 11,633.43 = 4,894.41 : x
  2. Step 2: Convert to fraction form
    8,431.89/11,633.43 = 4,894.41/x
  3. Step 3: Cross multiply
    8,431.89x = 11,633.43 × 4,894.41
  4. Step 4: Simplify right side
    8,431.89x = 56,938,776.13
  5. Step 5: Solve for x
    x = 56,938,776.13/8,431.89
  6. Step 6: Final answer
    x = 6,752.79

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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.