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Finding the Fourth Proportional to 11,496.44, 17,240.34 and 4,098.90

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Solution

The fourth proportional to 11,496.44, 17,240.34 and 4,098.90 is: 6,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.44 : 17,240.34 = 4,098.90 : x
  2. Step 2: Convert to fraction form
    11,496.44/17,240.34 = 4,098.90/x
  3. Step 3: Cross multiply
    11,496.44x = 17,240.34 × 4,098.90
  4. Step 4: Simplify right side
    11,496.44x = 70,666,429.63
  5. Step 5: Solve for x
    x = 70,666,429.63/11,496.44
  6. Step 6: Final answer
    x = 6,146.81

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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.