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Finding the Fourth Proportional to 11,832.80, 16,329.02 and 6,527.76

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Solution

The fourth proportional to 11,832.80, 16,329.02 and 6,527.76 is: 9,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.80 : 16,329.02 = 6,527.76 : x
  2. Step 2: Convert to fraction form
    11,832.80/16,329.02 = 6,527.76/x
  3. Step 3: Cross multiply
    11,832.80x = 16,329.02 × 6,527.76
  4. Step 4: Simplify right side
    11,832.80x = 106,591,923.60
  5. Step 5: Solve for x
    x = 106,591,923.60/11,832.80
  6. Step 6: Final answer
    x = 9,008.17

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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.