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Finding the Fourth Proportional to 7,288, 10,932.81 and 2,357.44

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Solution

The fourth proportional to 7,288, 10,932.81 and 2,357.44 is: 3,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288 : 10,932.81 = 2,357.44 : x
  2. Step 2: Convert to fraction form
    7,288/10,932.81 = 2,357.44/x
  3. Step 3: Cross multiply
    7,288x = 10,932.81 × 2,357.44
  4. Step 4: Simplify right side
    7,288x = 25,773,443.61
  5. Step 5: Solve for x
    x = 25,773,443.61/7,288
  6. Step 6: Final answer
    x = 3,536.42

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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.