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Finding the Fourth Proportional to 11,702.88, 17,556.75 and 6,153.17

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Solution

The fourth proportional to 11,702.88, 17,556.75 and 6,153.17 is: 9,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.88 : 17,556.75 = 6,153.17 : x
  2. Step 2: Convert to fraction form
    11,702.88/17,556.75 = 6,153.17/x
  3. Step 3: Cross multiply
    11,702.88x = 17,556.75 × 6,153.17
  4. Step 4: Simplify right side
    11,702.88x = 108,029,579.61
  5. Step 5: Solve for x
    x = 108,029,579.61/11,702.88
  6. Step 6: Final answer
    x = 9,231.03

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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.