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Finding the Fourth Proportional to 7,885.67, 11,824.41 and 3,203.02

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Solution

The fourth proportional to 7,885.67, 11,824.41 and 3,203.02 is: 4,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.67 : 11,824.41 = 3,203.02 : x
  2. Step 2: Convert to fraction form
    7,885.67/11,824.41 = 3,203.02/x
  3. Step 3: Cross multiply
    7,885.67x = 11,824.41 × 3,203.02
  4. Step 4: Simplify right side
    7,885.67x = 37,873,760.95
  5. Step 5: Solve for x
    x = 37,873,760.95/7,885.67
  6. Step 6: Final answer
    x = 4,802.86

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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.