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Finding the Fourth Proportional to 7,464.80, 11,198.88 and 2,534.16

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Solution

The fourth proportional to 7,464.80, 11,198.88 and 2,534.16 is: 3,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.80 : 11,198.88 = 2,534.16 : x
  2. Step 2: Convert to fraction form
    7,464.80/11,198.88 = 2,534.16/x
  3. Step 3: Cross multiply
    7,464.80x = 11,198.88 × 2,534.16
  4. Step 4: Simplify right side
    7,464.80x = 28,379,753.74
  5. Step 5: Solve for x
    x = 28,379,753.74/7,464.80
  6. Step 6: Final answer
    x = 3,801.81

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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.