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Finding the Fourth Proportional to 11,716.74, 17,582.04 and 4,326.42

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Solution

The fourth proportional to 11,716.74, 17,582.04 and 4,326.42 is: 6,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.74 : 17,582.04 = 4,326.42 : x
  2. Step 2: Convert to fraction form
    11,716.74/17,582.04 = 4,326.42/x
  3. Step 3: Cross multiply
    11,716.74x = 17,582.04 × 4,326.42
  4. Step 4: Simplify right side
    11,716.74x = 76,067,289.50
  5. Step 5: Solve for x
    x = 76,067,289.50/11,716.74
  6. Step 6: Final answer
    x = 6,492.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.