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Finding the Fourth Proportional to 7,644.10, 11,463.45 and 2,713.90

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Solution

The fourth proportional to 7,644.10, 11,463.45 and 2,713.90 is: 4,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.10 : 11,463.45 = 2,713.90 : x
  2. Step 2: Convert to fraction form
    7,644.10/11,463.45 = 2,713.90/x
  3. Step 3: Cross multiply
    7,644.10x = 11,463.45 × 2,713.90
  4. Step 4: Simplify right side
    7,644.10x = 31,110,656.96
  5. Step 5: Solve for x
    x = 31,110,656.96/7,644.10
  6. Step 6: Final answer
    x = 4,069.89

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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.