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Finding the Fourth Proportional to 11,097.36, 15,309.36 and 6,846.48

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Solution

The fourth proportional to 11,097.36, 15,309.36 and 6,846.48 is: 9,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.36 : 15,309.36 = 6,846.48 : x
  2. Step 2: Convert to fraction form
    11,097.36/15,309.36 = 6,846.48/x
  3. Step 3: Cross multiply
    11,097.36x = 15,309.36 × 6,846.48
  4. Step 4: Simplify right side
    11,097.36x = 104,815,227.05
  5. Step 5: Solve for x
    x = 104,815,227.05/11,097.36
  6. Step 6: Final answer
    x = 9,445.06

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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.