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Finding the Fourth Proportional to 7,659.88, 11,476.22 and 3,207.74

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Solution

The fourth proportional to 7,659.88, 11,476.22 and 3,207.74 is: 4,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.88 : 11,476.22 = 3,207.74 : x
  2. Step 2: Convert to fraction form
    7,659.88/11,476.22 = 3,207.74/x
  3. Step 3: Cross multiply
    7,659.88x = 11,476.22 × 3,207.74
  4. Step 4: Simplify right side
    7,659.88x = 36,812,729.94
  5. Step 5: Solve for x
    x = 36,812,729.94/7,659.88
  6. Step 6: Final answer
    x = 4,805.91

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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.