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Finding the Fourth Proportional to 7,232.67, 10,849.01 and 2,302.31

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Solution

The fourth proportional to 7,232.67, 10,849.01 and 2,302.31 is: 3,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.67 : 10,849.01 = 2,302.31 : x
  2. Step 2: Convert to fraction form
    7,232.67/10,849.01 = 2,302.31/x
  3. Step 3: Cross multiply
    7,232.67x = 10,849.01 × 2,302.31
  4. Step 4: Simplify right side
    7,232.67x = 24,977,799.82
  5. Step 5: Solve for x
    x = 24,977,799.82/7,232.67
  6. Step 6: Final answer
    x = 3,453.47

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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.