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Finding the Fourth Proportional to 11,308.38, 15,605.39 and 6,272.48

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Solution

The fourth proportional to 11,308.38, 15,605.39 and 6,272.48 is: 8,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.38 : 15,605.39 = 6,272.48 : x
  2. Step 2: Convert to fraction form
    11,308.38/15,605.39 = 6,272.48/x
  3. Step 3: Cross multiply
    11,308.38x = 15,605.39 × 6,272.48
  4. Step 4: Simplify right side
    11,308.38x = 97,884,387.28
  5. Step 5: Solve for x
    x = 97,884,387.28/11,308.38
  6. Step 6: Final answer
    x = 8,655.92

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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.