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Finding the Fourth Proportional to 27,491.34, 41,236.65 and 6,715.02

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Solution

The fourth proportional to 27,491.34, 41,236.65 and 6,715.02 is: 10,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,491.34 : 41,236.65 = 6,715.02 : x
  2. Step 2: Convert to fraction form
    27,491.34/41,236.65 = 6,715.02/x
  3. Step 3: Cross multiply
    27,491.34x = 41,236.65 × 6,715.02
  4. Step 4: Simplify right side
    27,491.34x = 276,904,929.48
  5. Step 5: Solve for x
    x = 276,904,929.48/27,491.34
  6. Step 6: Final answer
    x = 10,072.44

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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.