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Finding the Fourth Proportional to 7,602.96, 11,405.48 and 2,671.47

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Solution

The fourth proportional to 7,602.96, 11,405.48 and 2,671.47 is: 4,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.96 : 11,405.48 = 2,671.47 : x
  2. Step 2: Convert to fraction form
    7,602.96/11,405.48 = 2,671.47/x
  3. Step 3: Cross multiply
    7,602.96x = 11,405.48 × 2,671.47
  4. Step 4: Simplify right side
    7,602.96x = 30,469,327.27
  5. Step 5: Solve for x
    x = 30,469,327.27/7,602.96
  6. Step 6: Final answer
    x = 4,007.56

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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.