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Finding the Fourth Proportional to 11,615.23, 16,031.57 and 7,636.71

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Solution

The fourth proportional to 11,615.23, 16,031.57 and 7,636.71 is: 10,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.23 : 16,031.57 = 7,636.71 : x
  2. Step 2: Convert to fraction form
    11,615.23/16,031.57 = 7,636.71/x
  3. Step 3: Cross multiply
    11,615.23x = 16,031.57 × 7,636.71
  4. Step 4: Simplify right side
    11,615.23x = 122,428,515.83
  5. Step 5: Solve for x
    x = 122,428,515.83/11,615.23
  6. Step 6: Final answer
    x = 10,540.34

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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.