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Finding the Fourth Proportional to 11,311.26, 15,609.26 and 6,275.46

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Solution

The fourth proportional to 11,311.26, 15,609.26 and 6,275.46 is: 8,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.26 : 15,609.26 = 6,275.46 : x
  2. Step 2: Convert to fraction form
    11,311.26/15,609.26 = 6,275.46/x
  3. Step 3: Cross multiply
    11,311.26x = 15,609.26 × 6,275.46
  4. Step 4: Simplify right side
    11,311.26x = 97,955,255.38
  5. Step 5: Solve for x
    x = 97,955,255.38/11,311.26
  6. Step 6: Final answer
    x = 8,659.98

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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.