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Finding the Fourth Proportional to 7,294.67, 10,932.53 and 3,289.12

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Solution

The fourth proportional to 7,294.67, 10,932.53 and 3,289.12 is: 4,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.67 : 10,932.53 = 3,289.12 : x
  2. Step 2: Convert to fraction form
    7,294.67/10,932.53 = 3,289.12/x
  3. Step 3: Cross multiply
    7,294.67x = 10,932.53 × 3,289.12
  4. Step 4: Simplify right side
    7,294.67x = 35,958,403.07
  5. Step 5: Solve for x
    x = 35,958,403.07/7,294.67
  6. Step 6: Final answer
    x = 4,929.41

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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.