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Finding the Fourth Proportional to 7,671.88, 11,493 and 6,424.48

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Solution

The fourth proportional to 7,671.88, 11,493 and 6,424.48 is: 9,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.88 : 11,493 = 6,424.48 : x
  2. Step 2: Convert to fraction form
    7,671.88/11,493 = 6,424.48/x
  3. Step 3: Cross multiply
    7,671.88x = 11,493 × 6,424.48
  4. Step 4: Simplify right side
    7,671.88x = 73,836,548.64
  5. Step 5: Solve for x
    x = 73,836,548.64/7,671.88
  6. Step 6: Final answer
    x = 9,624.31

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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.