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Finding the Fourth Proportional to 6,674.28, 10,012.64 and 2,976.50

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Solution

The fourth proportional to 6,674.28, 10,012.64 and 2,976.50 is: 4,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.28 : 10,012.64 = 2,976.50 : x
  2. Step 2: Convert to fraction form
    6,674.28/10,012.64 = 2,976.50/x
  3. Step 3: Cross multiply
    6,674.28x = 10,012.64 × 2,976.50
  4. Step 4: Simplify right side
    6,674.28x = 29,802,558.01
  5. Step 5: Solve for x
    x = 29,802,558.01/6,674.28
  6. Step 6: Final answer
    x = 4,465.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.