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Finding the Fourth Proportional to 11,652.84, 17,472.96 and 6,092.82

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Solution

The fourth proportional to 11,652.84, 17,472.96 and 6,092.82 is: 9,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.84 : 17,472.96 = 6,092.82 : x
  2. Step 2: Convert to fraction form
    11,652.84/17,472.96 = 6,092.82/x
  3. Step 3: Cross multiply
    11,652.84x = 17,472.96 × 6,092.82
  4. Step 4: Simplify right side
    11,652.84x = 106,459,600.15
  5. Step 5: Solve for x
    x = 106,459,600.15/11,652.84
  6. Step 6: Final answer
    x = 9,135.94

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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.