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Finding the Fourth Proportional to 27,479.36, 41,219.76 and 7,760

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Solution

The fourth proportional to 27,479.36, 41,219.76 and 7,760 is: 11,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,479.36 : 41,219.76 = 7,760 : x
  2. Step 2: Convert to fraction form
    27,479.36/41,219.76 = 7,760/x
  3. Step 3: Cross multiply
    27,479.36x = 41,219.76 × 7,760
  4. Step 4: Simplify right side
    27,479.36x = 319,865,337.60
  5. Step 5: Solve for x
    x = 319,865,337.60/27,479.36
  6. Step 6: Final answer
    x = 11,640.20

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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.