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Finding the Fourth Proportional to 11,851.38, 16,335.40 and 8,403.12

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Solution

The fourth proportional to 11,851.38, 16,335.40 and 8,403.12 is: 11,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.38 : 16,335.40 = 8,403.12 : x
  2. Step 2: Convert to fraction form
    11,851.38/16,335.40 = 8,403.12/x
  3. Step 3: Cross multiply
    11,851.38x = 16,335.40 × 8,403.12
  4. Step 4: Simplify right side
    11,851.38x = 137,268,326.45
  5. Step 5: Solve for x
    x = 137,268,326.45/11,851.38
  6. Step 6: Final answer
    x = 11,582.48

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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.