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Finding the Fourth Proportional to 10,485.94, 15,680.31 and 8,119.12

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Solution

The fourth proportional to 10,485.94, 15,680.31 and 8,119.12 is: 12,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.94 : 15,680.31 = 8,119.12 : x
  2. Step 2: Convert to fraction form
    10,485.94/15,680.31 = 8,119.12/x
  3. Step 3: Cross multiply
    10,485.94x = 15,680.31 × 8,119.12
  4. Step 4: Simplify right side
    10,485.94x = 127,310,318.53
  5. Step 5: Solve for x
    x = 127,310,318.53/10,485.94
  6. Step 6: Final answer
    x = 12,141.05

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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.