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Finding the Fourth Proportional to 7,754.31, 11,636.03 and 2,824.25

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Solution

The fourth proportional to 7,754.31, 11,636.03 and 2,824.25 is: 4,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.31 : 11,636.03 = 2,824.25 : x
  2. Step 2: Convert to fraction form
    7,754.31/11,636.03 = 2,824.25/x
  3. Step 3: Cross multiply
    7,754.31x = 11,636.03 × 2,824.25
  4. Step 4: Simplify right side
    7,754.31x = 32,862,985.43
  5. Step 5: Solve for x
    x = 32,862,985.43/7,754.31
  6. Step 6: Final answer
    x = 4,238.03

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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.