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Finding the Fourth Proportional to 7,606.68, 11,410.42 and 2,412.96

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Solution

The fourth proportional to 7,606.68, 11,410.42 and 2,412.96 is: 3,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.68 : 11,410.42 = 2,412.96 : x
  2. Step 2: Convert to fraction form
    7,606.68/11,410.42 = 2,412.96/x
  3. Step 3: Cross multiply
    7,606.68x = 11,410.42 × 2,412.96
  4. Step 4: Simplify right side
    7,606.68x = 27,532,887.04
  5. Step 5: Solve for x
    x = 27,532,887.04/7,606.68
  6. Step 6: Final answer
    x = 3,619.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.