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Finding the Fourth Proportional to 7,527.57, 11,287.20 and 2,593.14

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Solution

The fourth proportional to 7,527.57, 11,287.20 and 2,593.14 is: 3,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.57 : 11,287.20 = 2,593.14 : x
  2. Step 2: Convert to fraction form
    7,527.57/11,287.20 = 2,593.14/x
  3. Step 3: Cross multiply
    7,527.57x = 11,287.20 × 2,593.14
  4. Step 4: Simplify right side
    7,527.57x = 29,269,289.81
  5. Step 5: Solve for x
    x = 29,269,289.81/7,527.57
  6. Step 6: Final answer
    x = 3,888.28

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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.