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Finding the Fourth Proportional to 7,476.54, 11,216.46 and 2,282.82

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Solution

The fourth proportional to 7,476.54, 11,216.46 and 2,282.82 is: 3,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.54 : 11,216.46 = 2,282.82 : x
  2. Step 2: Convert to fraction form
    7,476.54/11,216.46 = 2,282.82/x
  3. Step 3: Cross multiply
    7,476.54x = 11,216.46 × 2,282.82
  4. Step 4: Simplify right side
    7,476.54x = 25,605,159.22
  5. Step 5: Solve for x
    x = 25,605,159.22/7,476.54
  6. Step 6: Final answer
    x = 3,424.73

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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.