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Finding the Fourth Proportional to 7,662.88, 11,496.24 and 3,046.24

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Solution

The fourth proportional to 7,662.88, 11,496.24 and 3,046.24 is: 4,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.88 : 11,496.24 = 3,046.24 : x
  2. Step 2: Convert to fraction form
    7,662.88/11,496.24 = 3,046.24/x
  3. Step 3: Cross multiply
    7,662.88x = 11,496.24 × 3,046.24
  4. Step 4: Simplify right side
    7,662.88x = 35,020,306.14
  5. Step 5: Solve for x
    x = 35,020,306.14/7,662.88
  6. Step 6: Final answer
    x = 4,570.12

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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.