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Finding the Fourth Proportional to 27,478.28, 41,217.48 and 7,756.82

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Solution

The fourth proportional to 27,478.28, 41,217.48 and 7,756.82 is: 11,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.28 : 41,217.48 = 7,756.82 : x
  2. Step 2: Convert to fraction form
    27,478.28/41,217.48 = 7,756.82/x
  3. Step 3: Cross multiply
    27,478.28x = 41,217.48 × 7,756.82
  4. Step 4: Simplify right side
    27,478.28x = 319,716,676.26
  5. Step 5: Solve for x
    x = 319,716,676.26/27,478.28
  6. Step 6: Final answer
    x = 11,635.25

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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.