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Finding the Fourth Proportional to 7,187.37, 10,780.54 and 3,238.47

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Solution

The fourth proportional to 7,187.37, 10,780.54 and 3,238.47 is: 4,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.37 : 10,780.54 = 3,238.47 : x
  2. Step 2: Convert to fraction form
    7,187.37/10,780.54 = 3,238.47/x
  3. Step 3: Cross multiply
    7,187.37x = 10,780.54 × 3,238.47
  4. Step 4: Simplify right side
    7,187.37x = 34,912,450.33
  5. Step 5: Solve for x
    x = 34,912,450.33/7,187.37
  6. Step 6: Final answer
    x = 4,857.47

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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.