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Finding the Fourth Proportional to 7,606.28, 11,409.74 and 2,412.04

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Solution

The fourth proportional to 7,606.28, 11,409.74 and 2,412.04 is: 3,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.28 : 11,409.74 = 2,412.04 : x
  2. Step 2: Convert to fraction form
    7,606.28/11,409.74 = 2,412.04/x
  3. Step 3: Cross multiply
    7,606.28x = 11,409.74 × 2,412.04
  4. Step 4: Simplify right side
    7,606.28x = 27,520,749.27
  5. Step 5: Solve for x
    x = 27,520,749.27/7,606.28
  6. Step 6: Final answer
    x = 3,618.16

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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.