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Finding the Fourth Proportional to 7,262.82, 10,896.53 and 2,877.75

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Solution

The fourth proportional to 7,262.82, 10,896.53 and 2,877.75 is: 4,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.82 : 10,896.53 = 2,877.75 : x
  2. Step 2: Convert to fraction form
    7,262.82/10,896.53 = 2,877.75/x
  3. Step 3: Cross multiply
    7,262.82x = 10,896.53 × 2,877.75
  4. Step 4: Simplify right side
    7,262.82x = 31,357,474.82
  5. Step 5: Solve for x
    x = 31,357,474.82/7,262.82
  6. Step 6: Final answer
    x = 4,317.53

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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.