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Finding the Fourth Proportional to 7,464.64, 11,198.84 and 2,784.80

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Solution

The fourth proportional to 7,464.64, 11,198.84 and 2,784.80 is: 4,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.64 : 11,198.84 = 2,784.80 : x
  2. Step 2: Convert to fraction form
    7,464.64/11,198.84 = 2,784.80/x
  3. Step 3: Cross multiply
    7,464.64x = 11,198.84 × 2,784.80
  4. Step 4: Simplify right side
    7,464.64x = 31,186,537.75
  5. Step 5: Solve for x
    x = 31,186,537.75/7,464.64
  6. Step 6: Final answer
    x = 4,177.90

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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.