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Finding the Fourth Proportional to 7,227.34, 10,839.80 and 2,032

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Solution

The fourth proportional to 7,227.34, 10,839.80 and 2,032 is: 3,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.34 : 10,839.80 = 2,032 : x
  2. Step 2: Convert to fraction form
    7,227.34/10,839.80 = 2,032/x
  3. Step 3: Cross multiply
    7,227.34x = 10,839.80 × 2,032
  4. Step 4: Simplify right side
    7,227.34x = 22,026,473.60
  5. Step 5: Solve for x
    x = 22,026,473.60/7,227.34
  6. Step 6: Final answer
    x = 3,047.66

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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.