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Finding the Fourth Proportional to 8,431.97, 12,648.15 and 2,588.63

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Solution

The fourth proportional to 8,431.97, 12,648.15 and 2,588.63 is: 3,883.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.97 : 12,648.15 = 2,588.63 : x
  2. Step 2: Convert to fraction form
    8,431.97/12,648.15 = 2,588.63/x
  3. Step 3: Cross multiply
    8,431.97x = 12,648.15 × 2,588.63
  4. Step 4: Simplify right side
    8,431.97x = 32,741,317.29
  5. Step 5: Solve for x
    x = 32,741,317.29/8,431.97
  6. Step 6: Final answer
    x = 3,883.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.