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Finding the Fourth Proportional to 7,644.36, 11,467.56 and 3,026.28

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Solution

The fourth proportional to 7,644.36, 11,467.56 and 3,026.28 is: 4,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.36 : 11,467.56 = 3,026.28 : x
  2. Step 2: Convert to fraction form
    7,644.36/11,467.56 = 3,026.28/x
  3. Step 3: Cross multiply
    7,644.36x = 11,467.56 × 3,026.28
  4. Step 4: Simplify right side
    7,644.36x = 34,704,047.48
  5. Step 5: Solve for x
    x = 34,704,047.48/7,644.36
  6. Step 6: Final answer
    x = 4,539.82

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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.