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Finding the Fourth Proportional to 11,552.17, 15,946.09 and 6,836.44

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Solution

The fourth proportional to 11,552.17, 15,946.09 and 6,836.44 is: 9,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.17 : 15,946.09 = 6,836.44 : x
  2. Step 2: Convert to fraction form
    11,552.17/15,946.09 = 6,836.44/x
  3. Step 3: Cross multiply
    11,552.17x = 15,946.09 × 6,836.44
  4. Step 4: Simplify right side
    11,552.17x = 109,014,487.52
  5. Step 5: Solve for x
    x = 109,014,487.52/11,552.17
  6. Step 6: Final answer
    x = 9,436.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.