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Finding the Fourth Proportional to 10,343.38, 14,274.22 and 5,627.84

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Solution

The fourth proportional to 10,343.38, 14,274.22 and 5,627.84 is: 7,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.38 : 14,274.22 = 5,627.84 : x
  2. Step 2: Convert to fraction form
    10,343.38/14,274.22 = 5,627.84/x
  3. Step 3: Cross multiply
    10,343.38x = 14,274.22 × 5,627.84
  4. Step 4: Simplify right side
    10,343.38x = 80,333,026.28
  5. Step 5: Solve for x
    x = 80,333,026.28/10,343.38
  6. Step 6: Final answer
    x = 7,766.61

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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.