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Finding the Fourth Proportional to 11,410.24, 17,092.64 and 7,502.80

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Solution

The fourth proportional to 11,410.24, 17,092.64 and 7,502.80 is: 11,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.24 : 17,092.64 = 7,502.80 : x
  2. Step 2: Convert to fraction form
    11,410.24/17,092.64 = 7,502.80/x
  3. Step 3: Cross multiply
    11,410.24x = 17,092.64 × 7,502.80
  4. Step 4: Simplify right side
    11,410.24x = 128,242,659.39
  5. Step 5: Solve for x
    x = 128,242,659.39/11,410.24
  6. Step 6: Final answer
    x = 11,239.26

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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.