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Finding the Fourth Proportional to 11,479.48, 17,227.52 and 4,084

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Solution

The fourth proportional to 11,479.48, 17,227.52 and 4,084 is: 6,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,479.48 : 17,227.52 = 4,084 : x
  2. Step 2: Convert to fraction form
    11,479.48/17,227.52 = 4,084/x
  3. Step 3: Cross multiply
    11,479.48x = 17,227.52 × 4,084
  4. Step 4: Simplify right side
    11,479.48x = 70,357,191.68
  5. Step 5: Solve for x
    x = 70,357,191.68/11,479.48
  6. Step 6: Final answer
    x = 6,128.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.