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Finding the Fourth Proportional to 10,834.32, 16,241.76 and 4,986.12

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Solution

The fourth proportional to 10,834.32, 16,241.76 and 4,986.12 is: 7,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.32 : 16,241.76 = 4,986.12 : x
  2. Step 2: Convert to fraction form
    10,834.32/16,241.76 = 4,986.12/x
  3. Step 3: Cross multiply
    10,834.32x = 16,241.76 × 4,986.12
  4. Step 4: Simplify right side
    10,834.32x = 80,983,364.37
  5. Step 5: Solve for x
    x = 80,983,364.37/10,834.32
  6. Step 6: Final answer
    x = 7,474.71

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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.