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Finding the Fourth Proportional to 8,431.79, 12,648.04 and 2,588.63

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Solution

The fourth proportional to 8,431.79, 12,648.04 and 2,588.63 is: 3,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.79 : 12,648.04 = 2,588.63 : x
  2. Step 2: Convert to fraction form
    8,431.79/12,648.04 = 2,588.63/x
  3. Step 3: Cross multiply
    8,431.79x = 12,648.04 × 2,588.63
  4. Step 4: Simplify right side
    8,431.79x = 32,741,032.55
  5. Step 5: Solve for x
    x = 32,741,032.55/8,431.79
  6. Step 6: Final answer
    x = 3,883.05

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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.