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Finding the Fourth Proportional to 11,138.25, 16,696.92 and 3,737.52

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Solution

The fourth proportional to 11,138.25, 16,696.92 and 3,737.52 is: 5,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.25 : 16,696.92 = 3,737.52 : x
  2. Step 2: Convert to fraction form
    11,138.25/16,696.92 = 3,737.52/x
  3. Step 3: Cross multiply
    11,138.25x = 16,696.92 × 3,737.52
  4. Step 4: Simplify right side
    11,138.25x = 62,405,097.83
  5. Step 5: Solve for x
    x = 62,405,097.83/11,138.25
  6. Step 6: Final answer
    x = 5,602.77

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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.