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Finding the Fourth Proportional to 10,628.28, 14,666.64 and 5,912.46

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Solution

The fourth proportional to 10,628.28, 14,666.64 and 5,912.46 is: 8,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.28 : 14,666.64 = 5,912.46 : x
  2. Step 2: Convert to fraction form
    10,628.28/14,666.64 = 5,912.46/x
  3. Step 3: Cross multiply
    10,628.28x = 14,666.64 × 5,912.46
  4. Step 4: Simplify right side
    10,628.28x = 86,715,922.33
  5. Step 5: Solve for x
    x = 86,715,922.33/10,628.28
  6. Step 6: Final answer
    x = 8,158.98

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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.