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Finding the Fourth Proportional to 10,343.84, 14,274.42 and 5,628.11

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Solution

The fourth proportional to 10,343.84, 14,274.42 and 5,628.11 is: 7,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.84 : 14,274.42 = 5,628.11 : x
  2. Step 2: Convert to fraction form
    10,343.84/14,274.42 = 5,628.11/x
  3. Step 3: Cross multiply
    10,343.84x = 14,274.42 × 5,628.11
  4. Step 4: Simplify right side
    10,343.84x = 80,338,005.95
  5. Step 5: Solve for x
    x = 80,338,005.95/10,343.84
  6. Step 6: Final answer
    x = 7,766.75

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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.