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Finding the Fourth Proportional to 11,923.84, 16,455.12 and 6,546.48

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Solution

The fourth proportional to 11,923.84, 16,455.12 and 6,546.48 is: 9,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.84 : 16,455.12 = 6,546.48 : x
  2. Step 2: Convert to fraction form
    11,923.84/16,455.12 = 6,546.48/x
  3. Step 3: Cross multiply
    11,923.84x = 16,455.12 × 6,546.48
  4. Step 4: Simplify right side
    11,923.84x = 107,723,113.98
  5. Step 5: Solve for x
    x = 107,723,113.98/11,923.84
  6. Step 6: Final answer
    x = 9,034.26

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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.