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Finding the Fourth Proportional to 12,592.10, 18,887.34 and 3,827.09

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Solution

The fourth proportional to 12,592.10, 18,887.34 and 3,827.09 is: 5,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.10 : 18,887.34 = 3,827.09 : x
  2. Step 2: Convert to fraction form
    12,592.10/18,887.34 = 3,827.09/x
  3. Step 3: Cross multiply
    12,592.10x = 18,887.34 × 3,827.09
  4. Step 4: Simplify right side
    12,592.10x = 72,283,550.04
  5. Step 5: Solve for x
    x = 72,283,550.04/12,592.10
  6. Step 6: Final answer
    x = 5,740.39

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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.