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Finding the Fourth Proportional to 15,264.72, 22,892.12 and 4,874

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Solution

The fourth proportional to 15,264.72, 22,892.12 and 4,874 is: 7,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,264.72 : 22,892.12 = 4,874 : x
  2. Step 2: Convert to fraction form
    15,264.72/22,892.12 = 4,874/x
  3. Step 3: Cross multiply
    15,264.72x = 22,892.12 × 4,874
  4. Step 4: Simplify right side
    15,264.72x = 111,576,192.88
  5. Step 5: Solve for x
    x = 111,576,192.88/15,264.72
  6. Step 6: Final answer
    x = 7,309.42

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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.