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Finding the Fourth Proportional to 27,359.63, 41,039.84 and 7,638.29

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Solution

The fourth proportional to 27,359.63, 41,039.84 and 7,638.29 is: 11,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,359.63 : 41,039.84 = 7,638.29 : x
  2. Step 2: Convert to fraction form
    27,359.63/41,039.84 = 7,638.29/x
  3. Step 3: Cross multiply
    27,359.63x = 41,039.84 × 7,638.29
  4. Step 4: Simplify right side
    27,359.63x = 313,473,956.08
  5. Step 5: Solve for x
    x = 313,473,956.08/27,359.63
  6. Step 6: Final answer
    x = 11,457.54

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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.