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Finding the Fourth Proportional to 8,290.73, 11,441.35 and 4,514.01

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Solution

The fourth proportional to 8,290.73, 11,441.35 and 4,514.01 is: 6,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.73 : 11,441.35 = 4,514.01 : x
  2. Step 2: Convert to fraction form
    8,290.73/11,441.35 = 4,514.01/x
  3. Step 3: Cross multiply
    8,290.73x = 11,441.35 × 4,514.01
  4. Step 4: Simplify right side
    8,290.73x = 51,646,322.39
  5. Step 5: Solve for x
    x = 51,646,322.39/8,290.73
  6. Step 6: Final answer
    x = 6,229.40

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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.