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Finding the Fourth Proportional to 10,274.64, 15,425.22 and 5,347.68

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Solution

The fourth proportional to 10,274.64, 15,425.22 and 5,347.68 is: 8,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.64 : 15,425.22 = 5,347.68 : x
  2. Step 2: Convert to fraction form
    10,274.64/15,425.22 = 5,347.68/x
  3. Step 3: Cross multiply
    10,274.64x = 15,425.22 × 5,347.68
  4. Step 4: Simplify right side
    10,274.64x = 82,489,140.49
  5. Step 5: Solve for x
    x = 82,489,140.49/10,274.64
  6. Step 6: Final answer
    x = 8,028.42

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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.