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Finding the Fourth Proportional to 25,772, 38,664.48 and 7,304

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Solution

The fourth proportional to 25,772, 38,664.48 and 7,304 is: 10,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772 : 38,664.48 = 7,304 : x
  2. Step 2: Convert to fraction form
    25,772/38,664.48 = 7,304/x
  3. Step 3: Cross multiply
    25,772x = 38,664.48 × 7,304
  4. Step 4: Simplify right side
    25,772x = 282,405,361.92
  5. Step 5: Solve for x
    x = 282,405,361.92/25,772
  6. Step 6: Final answer
    x = 10,957.84

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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.