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Finding the Fourth Proportional to 11,406.24, 17,086.64 and 7,498.80

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Solution

The fourth proportional to 11,406.24, 17,086.64 and 7,498.80 is: 11,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.24 : 17,086.64 = 7,498.80 : x
  2. Step 2: Convert to fraction form
    11,406.24/17,086.64 = 7,498.80/x
  3. Step 3: Cross multiply
    11,406.24x = 17,086.64 × 7,498.80
  4. Step 4: Simplify right side
    11,406.24x = 128,129,296.03
  5. Step 5: Solve for x
    x = 128,129,296.03/11,406.24
  6. Step 6: Final answer
    x = 11,233.26

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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.