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Finding the Fourth Proportional to 10,452, 14,422.44 and 5,735.04

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Solution

The fourth proportional to 10,452, 14,422.44 and 5,735.04 is: 7,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452 : 14,422.44 = 5,735.04 : x
  2. Step 2: Convert to fraction form
    10,452/14,422.44 = 5,735.04/x
  3. Step 3: Cross multiply
    10,452x = 14,422.44 × 5,735.04
  4. Step 4: Simplify right side
    10,452x = 82,713,270.30
  5. Step 5: Solve for x
    x = 82,713,270.30/10,452
  6. Step 6: Final answer
    x = 7,913.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.