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Finding the Fourth Proportional to 7,187.70, 10,778.35 and 3,293.30

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Solution

The fourth proportional to 7,187.70, 10,778.35 and 3,293.30 is: 4,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.70 : 10,778.35 = 3,293.30 : x
  2. Step 2: Convert to fraction form
    7,187.70/10,778.35 = 3,293.30/x
  3. Step 3: Cross multiply
    7,187.70x = 10,778.35 × 3,293.30
  4. Step 4: Simplify right side
    7,187.70x = 35,496,340.06
  5. Step 5: Solve for x
    x = 35,496,340.06/7,187.70
  6. Step 6: Final answer
    x = 4,938.48

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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.