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Finding the Fourth Proportional to 7,456.66, 11,180.67 and 3,069.16

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Solution

The fourth proportional to 7,456.66, 11,180.67 and 3,069.16 is: 4,601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.66 : 11,180.67 = 3,069.16 : x
  2. Step 2: Convert to fraction form
    7,456.66/11,180.67 = 3,069.16/x
  3. Step 3: Cross multiply
    7,456.66x = 11,180.67 × 3,069.16
  4. Step 4: Simplify right side
    7,456.66x = 34,315,265.14
  5. Step 5: Solve for x
    x = 34,315,265.14/7,456.66
  6. Step 6: Final answer
    x = 4,601.96

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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.