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Finding the Fourth Proportional to 7,975.38, 11,967.47 and 3,294.30

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Solution

The fourth proportional to 7,975.38, 11,967.47 and 3,294.30 is: 4,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.38 : 11,967.47 = 3,294.30 : x
  2. Step 2: Convert to fraction form
    7,975.38/11,967.47 = 3,294.30/x
  3. Step 3: Cross multiply
    7,975.38x = 11,967.47 × 3,294.30
  4. Step 4: Simplify right side
    7,975.38x = 39,424,376.58
  5. Step 5: Solve for x
    x = 39,424,376.58/7,975.38
  6. Step 6: Final answer
    x = 4,943.26

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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.