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Finding the Fourth Proportional to 7,674.41, 11,509.17 and 3,290.69

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Solution

The fourth proportional to 7,674.41, 11,509.17 and 3,290.69 is: 4,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.41 : 11,509.17 = 3,290.69 : x
  2. Step 2: Convert to fraction form
    7,674.41/11,509.17 = 3,290.69/x
  3. Step 3: Cross multiply
    7,674.41x = 11,509.17 × 3,290.69
  4. Step 4: Simplify right side
    7,674.41x = 37,873,053.08
  5. Step 5: Solve for x
    x = 37,873,053.08/7,674.41
  6. Step 6: Final answer
    x = 4,934.98

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