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Finding the Fourth Proportional to 11,702.26, 17,549.74 and 3,909.25

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Solution

The fourth proportional to 11,702.26, 17,549.74 and 3,909.25 is: 5,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.26 : 17,549.74 = 3,909.25 : x
  2. Step 2: Convert to fraction form
    11,702.26/17,549.74 = 3,909.25/x
  3. Step 3: Cross multiply
    11,702.26x = 17,549.74 × 3,909.25
  4. Step 4: Simplify right side
    11,702.26x = 68,606,321.10
  5. Step 5: Solve for x
    x = 68,606,321.10/11,702.26
  6. Step 6: Final answer
    x = 5,862.66

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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.