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Finding the Fourth Proportional to 7,581.84, 11,369.76 and 3,632

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Solution

The fourth proportional to 7,581.84, 11,369.76 and 3,632 is: 5,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.84 : 11,369.76 = 3,632 : x
  2. Step 2: Convert to fraction form
    7,581.84/11,369.76 = 3,632/x
  3. Step 3: Cross multiply
    7,581.84x = 11,369.76 × 3,632
  4. Step 4: Simplify right side
    7,581.84x = 41,294,968.32
  5. Step 5: Solve for x
    x = 41,294,968.32/7,581.84
  6. Step 6: Final answer
    x = 5,446.56

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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.