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Finding the Fourth Proportional to 7,644.85, 11,463.86 and 2,713.16

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Solution

The fourth proportional to 7,644.85, 11,463.86 and 2,713.16 is: 4,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.85 : 11,463.86 = 2,713.16 : x
  2. Step 2: Convert to fraction form
    7,644.85/11,463.86 = 2,713.16/x
  3. Step 3: Cross multiply
    7,644.85x = 11,463.86 × 2,713.16
  4. Step 4: Simplify right side
    7,644.85x = 31,103,321.84
  5. Step 5: Solve for x
    x = 31,103,321.84/7,644.85
  6. Step 6: Final answer
    x = 4,068.53

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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.