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Finding the Fourth Proportional to 7,948.49, 10,972.01 and 5,964.80

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Solution

The fourth proportional to 7,948.49, 10,972.01 and 5,964.80 is: 8,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.49 : 10,972.01 = 5,964.80 : x
  2. Step 2: Convert to fraction form
    7,948.49/10,972.01 = 5,964.80/x
  3. Step 3: Cross multiply
    7,948.49x = 10,972.01 × 5,964.80
  4. Step 4: Simplify right side
    7,948.49x = 65,445,805.30
  5. Step 5: Solve for x
    x = 65,445,805.30/7,948.49
  6. Step 6: Final answer
    x = 8,233.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.