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Finding the Fourth Proportional to 7,644.30, 11,462.40 and 2,713.20

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Solution

The fourth proportional to 7,644.30, 11,462.40 and 2,713.20 is: 4,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.30 : 11,462.40 = 2,713.20 : x
  2. Step 2: Convert to fraction form
    7,644.30/11,462.40 = 2,713.20/x
  3. Step 3: Cross multiply
    7,644.30x = 11,462.40 × 2,713.20
  4. Step 4: Simplify right side
    7,644.30x = 31,099,783.68
  5. Step 5: Solve for x
    x = 31,099,783.68/7,644.30
  6. Step 6: Final answer
    x = 4,068.36

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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.