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Finding the Fourth Proportional to 10,313.04, 14,232.84 and 8,631.48

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Solution

The fourth proportional to 10,313.04, 14,232.84 and 8,631.48 is: 11,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.04 : 14,232.84 = 8,631.48 : x
  2. Step 2: Convert to fraction form
    10,313.04/14,232.84 = 8,631.48/x
  3. Step 3: Cross multiply
    10,313.04x = 14,232.84 × 8,631.48
  4. Step 4: Simplify right side
    10,313.04x = 122,850,473.80
  5. Step 5: Solve for x
    x = 122,850,473.80/10,313.04
  6. Step 6: Final answer
    x = 11,912.15

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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.