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Finding the Fourth Proportional to 10,635.64, 15,953.46 and 2,844.25

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Solution

The fourth proportional to 10,635.64, 15,953.46 and 2,844.25 is: 4,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.64 : 15,953.46 = 2,844.25 : x
  2. Step 2: Convert to fraction form
    10,635.64/15,953.46 = 2,844.25/x
  3. Step 3: Cross multiply
    10,635.64x = 15,953.46 × 2,844.25
  4. Step 4: Simplify right side
    10,635.64x = 45,375,628.61
  5. Step 5: Solve for x
    x = 45,375,628.61/10,635.64
  6. Step 6: Final answer
    x = 4,266.38

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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.