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Finding the Fourth Proportional to 10,804.24, 16,208.79 and 7,816.56

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Solution

The fourth proportional to 10,804.24, 16,208.79 and 7,816.56 is: 11,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.24 : 16,208.79 = 7,816.56 : x
  2. Step 2: Convert to fraction form
    10,804.24/16,208.79 = 7,816.56/x
  3. Step 3: Cross multiply
    10,804.24x = 16,208.79 × 7,816.56
  4. Step 4: Simplify right side
    10,804.24x = 126,696,979.56
  5. Step 5: Solve for x
    x = 126,696,979.56/10,804.24
  6. Step 6: Final answer
    x = 11,726.60

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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.