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Finding the Fourth Proportional to 11,552.36, 15,946.34 and 6,836.63

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Solution

The fourth proportional to 11,552.36, 15,946.34 and 6,836.63 is: 9,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.36 : 15,946.34 = 6,836.63 : x
  2. Step 2: Convert to fraction form
    11,552.36/15,946.34 = 6,836.63/x
  3. Step 3: Cross multiply
    11,552.36x = 15,946.34 × 6,836.63
  4. Step 4: Simplify right side
    11,552.36x = 109,019,112.52
  5. Step 5: Solve for x
    x = 109,019,112.52/11,552.36
  6. Step 6: Final answer
    x = 9,436.96

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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.