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Finding the Fourth Proportional to 11,392.24, 15,696.84 and 8,242.96

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Solution

The fourth proportional to 11,392.24, 15,696.84 and 8,242.96 is: 11,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.24 : 15,696.84 = 8,242.96 : x
  2. Step 2: Convert to fraction form
    11,392.24/15,696.84 = 8,242.96/x
  3. Step 3: Cross multiply
    11,392.24x = 15,696.84 × 8,242.96
  4. Step 4: Simplify right side
    11,392.24x = 129,388,424.25
  5. Step 5: Solve for x
    x = 129,388,424.25/11,392.24
  6. Step 6: Final answer
    x = 11,357.59

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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.