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Finding the Fourth Proportional to 11,293.23, 15,584.32 and 6,257.66

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Solution

The fourth proportional to 11,293.23, 15,584.32 and 6,257.66 is: 8,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.23 : 15,584.32 = 6,257.66 : x
  2. Step 2: Convert to fraction form
    11,293.23/15,584.32 = 6,257.66/x
  3. Step 3: Cross multiply
    11,293.23x = 15,584.32 × 6,257.66
  4. Step 4: Simplify right side
    11,293.23x = 97,521,375.89
  5. Step 5: Solve for x
    x = 97,521,375.89/11,293.23
  6. Step 6: Final answer
    x = 8,635.38

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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.