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Finding the Fourth Proportional to 11,382.16, 15,698.28 and 7,844.56

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Solution

The fourth proportional to 11,382.16, 15,698.28 and 7,844.56 is: 10,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.16 : 15,698.28 = 7,844.56 : x
  2. Step 2: Convert to fraction form
    11,382.16/15,698.28 = 7,844.56/x
  3. Step 3: Cross multiply
    11,382.16x = 15,698.28 × 7,844.56
  4. Step 4: Simplify right side
    11,382.16x = 123,146,099.36
  5. Step 5: Solve for x
    x = 123,146,099.36/11,382.16
  6. Step 6: Final answer
    x = 10,819.22

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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.