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Finding the Fourth Proportional to 8,313.53, 12,471.50 and 2,976.30

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Solution

The fourth proportional to 8,313.53, 12,471.50 and 2,976.30 is: 4,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.53 : 12,471.50 = 2,976.30 : x
  2. Step 2: Convert to fraction form
    8,313.53/12,471.50 = 2,976.30/x
  3. Step 3: Cross multiply
    8,313.53x = 12,471.50 × 2,976.30
  4. Step 4: Simplify right side
    8,313.53x = 37,118,932.89
  5. Step 5: Solve for x
    x = 37,118,932.89/8,313.53
  6. Step 6: Final answer
    x = 4,464.88

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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.