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Finding the Fourth Proportional to 11,838.91, 16,338.24 and 6,804.76

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Solution

The fourth proportional to 11,838.91, 16,338.24 and 6,804.76 is: 9,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.91 : 16,338.24 = 6,804.76 : x
  2. Step 2: Convert to fraction form
    11,838.91/16,338.24 = 6,804.76/x
  3. Step 3: Cross multiply
    11,838.91x = 16,338.24 × 6,804.76
  4. Step 4: Simplify right side
    11,838.91x = 111,177,802.02
  5. Step 5: Solve for x
    x = 111,177,802.02/11,838.91
  6. Step 6: Final answer
    x = 9,390.88

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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.