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Finding the Fourth Proportional to 11,994, 16,546.80 and 7,962.72

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Solution

The fourth proportional to 11,994, 16,546.80 and 7,962.72 is: 10,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994 : 16,546.80 = 7,962.72 : x
  2. Step 2: Convert to fraction form
    11,994/16,546.80 = 7,962.72/x
  3. Step 3: Cross multiply
    11,994x = 16,546.80 × 7,962.72
  4. Step 4: Simplify right side
    11,994x = 131,757,535.30
  5. Step 5: Solve for x
    x = 131,757,535.30/11,994
  6. Step 6: Final answer
    x = 10,985.29

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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.