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Finding the Fourth Proportional to 7,606.16, 11,409.96 and 2,412.80

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Solution

The fourth proportional to 7,606.16, 11,409.96 and 2,412.80 is: 3,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.16 : 11,409.96 = 2,412.80 : x
  2. Step 2: Convert to fraction form
    7,606.16/11,409.96 = 2,412.80/x
  3. Step 3: Cross multiply
    7,606.16x = 11,409.96 × 2,412.80
  4. Step 4: Simplify right side
    7,606.16x = 27,529,951.49
  5. Step 5: Solve for x
    x = 27,529,951.49/7,606.16
  6. Step 6: Final answer
    x = 3,619.43

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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.