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Finding the Fourth Proportional to 27,478.85, 41,219.99 and 7,758.92

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Solution

The fourth proportional to 27,478.85, 41,219.99 and 7,758.92 is: 11,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.85 : 41,219.99 = 7,758.92 : x
  2. Step 2: Convert to fraction form
    27,478.85/41,219.99 = 7,758.92/x
  3. Step 3: Cross multiply
    27,478.85x = 41,219.99 × 7,758.92
  4. Step 4: Simplify right side
    27,478.85x = 319,822,698.16
  5. Step 5: Solve for x
    x = 319,822,698.16/27,478.85
  6. Step 6: Final answer
    x = 11,638.87

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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.