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Finding the Fourth Proportional to 11,213.84, 15,458.92 and 7,846.22

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Solution

The fourth proportional to 11,213.84, 15,458.92 and 7,846.22 is: 10,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.84 : 15,458.92 = 7,846.22 : x
  2. Step 2: Convert to fraction form
    11,213.84/15,458.92 = 7,846.22/x
  3. Step 3: Cross multiply
    11,213.84x = 15,458.92 × 7,846.22
  4. Step 4: Simplify right side
    11,213.84x = 121,294,087.28
  5. Step 5: Solve for x
    x = 121,294,087.28/11,213.84
  6. Step 6: Final answer
    x = 10,816.46

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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.