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Finding the Fourth Proportional to 11,175.69, 15,422.39 and 6,071.16

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Solution

The fourth proportional to 11,175.69, 15,422.39 and 6,071.16 is: 8,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.69 : 15,422.39 = 6,071.16 : x
  2. Step 2: Convert to fraction form
    11,175.69/15,422.39 = 6,071.16/x
  3. Step 3: Cross multiply
    11,175.69x = 15,422.39 × 6,071.16
  4. Step 4: Simplify right side
    11,175.69x = 93,631,766.92
  5. Step 5: Solve for x
    x = 93,631,766.92/11,175.69
  6. Step 6: Final answer
    x = 8,378.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.