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Finding the Fourth Proportional to 7,338.32, 11,012.16 and 3,177.68

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Solution

The fourth proportional to 7,338.32, 11,012.16 and 3,177.68 is: 4,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.32 : 11,012.16 = 3,177.68 : x
  2. Step 2: Convert to fraction form
    7,338.32/11,012.16 = 3,177.68/x
  3. Step 3: Cross multiply
    7,338.32x = 11,012.16 × 3,177.68
  4. Step 4: Simplify right side
    7,338.32x = 34,993,120.59
  5. Step 5: Solve for x
    x = 34,993,120.59/7,338.32
  6. Step 6: Final answer
    x = 4,768.55

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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.