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Finding the Fourth Proportional to 29,086.57, 43,629.84 and 8,310.07

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Solution

The fourth proportional to 29,086.57, 43,629.84 and 8,310.07 is: 12,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,086.57 : 43,629.84 = 8,310.07 : x
  2. Step 2: Convert to fraction form
    29,086.57/43,629.84 = 8,310.07/x
  3. Step 3: Cross multiply
    29,086.57x = 43,629.84 × 8,310.07
  4. Step 4: Simplify right side
    29,086.57x = 362,567,024.49
  5. Step 5: Solve for x
    x = 362,567,024.49/29,086.57
  6. Step 6: Final answer
    x = 12,465.10

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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.