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Finding the Fourth Proportional to 11,691.36, 16,128.24 and 7,496.48

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Solution

The fourth proportional to 11,691.36, 16,128.24 and 7,496.48 is: 10,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.36 : 16,128.24 = 7,496.48 : x
  2. Step 2: Convert to fraction form
    11,691.36/16,128.24 = 7,496.48/x
  3. Step 3: Cross multiply
    11,691.36x = 16,128.24 × 7,496.48
  4. Step 4: Simplify right side
    11,691.36x = 120,905,028.60
  5. Step 5: Solve for x
    x = 120,905,028.60/11,691.36
  6. Step 6: Final answer
    x = 10,341.40

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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.