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Finding the Fourth Proportional to 11,375.98, 17,047.82 and 6,435.24

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Solution

The fourth proportional to 11,375.98, 17,047.82 and 6,435.24 is: 9,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.98 : 17,047.82 = 6,435.24 : x
  2. Step 2: Convert to fraction form
    11,375.98/17,047.82 = 6,435.24/x
  3. Step 3: Cross multiply
    11,375.98x = 17,047.82 × 6,435.24
  4. Step 4: Simplify right side
    11,375.98x = 109,706,813.18
  5. Step 5: Solve for x
    x = 109,706,813.18/11,375.98
  6. Step 6: Final answer
    x = 9,643.72

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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.