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Finding the Fourth Proportional to 11,302.26, 15,580.82 and 7,934.64

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Solution

The fourth proportional to 11,302.26, 15,580.82 and 7,934.64 is: 10,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.26 : 15,580.82 = 7,934.64 : x
  2. Step 2: Convert to fraction form
    11,302.26/15,580.82 = 7,934.64/x
  3. Step 3: Cross multiply
    11,302.26x = 15,580.82 × 7,934.64
  4. Step 4: Simplify right side
    11,302.26x = 123,628,197.60
  5. Step 5: Solve for x
    x = 123,628,197.60/11,302.26
  6. Step 6: Final answer
    x = 10,938.36

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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.