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Finding the Fourth Proportional to 11,702.52, 17,554.32 and 6,504.48

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Solution

The fourth proportional to 11,702.52, 17,554.32 and 6,504.48 is: 9,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.52 : 17,554.32 = 6,504.48 : x
  2. Step 2: Convert to fraction form
    11,702.52/17,554.32 = 6,504.48/x
  3. Step 3: Cross multiply
    11,702.52x = 17,554.32 × 6,504.48
  4. Step 4: Simplify right side
    11,702.52x = 114,181,723.35
  5. Step 5: Solve for x
    x = 114,181,723.35/11,702.52
  6. Step 6: Final answer
    x = 9,757.02

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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.