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Finding the Fourth Proportional to 11,796.64, 16,275.23 and 7,548.39

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Solution

The fourth proportional to 11,796.64, 16,275.23 and 7,548.39 is: 10,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.64 : 16,275.23 = 7,548.39 : x
  2. Step 2: Convert to fraction form
    11,796.64/16,275.23 = 7,548.39/x
  3. Step 3: Cross multiply
    11,796.64x = 16,275.23 × 7,548.39
  4. Step 4: Simplify right side
    11,796.64x = 122,851,773.94
  5. Step 5: Solve for x
    x = 122,851,773.94/11,796.64
  6. Step 6: Final answer
    x = 10,414.13

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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.