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Finding the Fourth Proportional to 10,343.91, 14,274.57 and 5,628.18

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Solution

The fourth proportional to 10,343.91, 14,274.57 and 5,628.18 is: 7,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.91 : 14,274.57 = 5,628.18 : x
  2. Step 2: Convert to fraction form
    10,343.91/14,274.57 = 5,628.18/x
  3. Step 3: Cross multiply
    10,343.91x = 14,274.57 × 5,628.18
  4. Step 4: Simplify right side
    10,343.91x = 80,339,849.38
  5. Step 5: Solve for x
    x = 80,339,849.38/10,343.91
  6. Step 6: Final answer
    x = 7,766.87

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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.