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Finding the Fourth Proportional to 7,182.75, 10,778.40 and 3,287.46

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Solution

The fourth proportional to 7,182.75, 10,778.40 and 3,287.46 is: 4,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.75 : 10,778.40 = 3,287.46 : x
  2. Step 2: Convert to fraction form
    7,182.75/10,778.40 = 3,287.46/x
  3. Step 3: Cross multiply
    7,182.75x = 10,778.40 × 3,287.46
  4. Step 4: Simplify right side
    7,182.75x = 35,433,558.86
  5. Step 5: Solve for x
    x = 35,433,558.86/7,182.75
  6. Step 6: Final answer
    x = 4,933.15

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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.