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Finding the Fourth Proportional to 10,343.69, 14,274.65 and 5,628.14

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Solution

The fourth proportional to 10,343.69, 14,274.65 and 5,628.14 is: 7,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.69 : 14,274.65 = 5,628.14 : x
  2. Step 2: Convert to fraction form
    10,343.69/14,274.65 = 5,628.14/x
  3. Step 3: Cross multiply
    10,343.69x = 14,274.65 × 5,628.14
  4. Step 4: Simplify right side
    10,343.69x = 80,339,728.65
  5. Step 5: Solve for x
    x = 80,339,728.65/10,343.69
  6. Step 6: Final answer
    x = 7,767.03

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