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Finding the Fourth Proportional to 11,083.37, 15,297.09 and 7,106.09

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Solution

The fourth proportional to 11,083.37, 15,297.09 and 7,106.09 is: 9,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.37 : 15,297.09 = 7,106.09 : x
  2. Step 2: Convert to fraction form
    11,083.37/15,297.09 = 7,106.09/x
  3. Step 3: Cross multiply
    11,083.37x = 15,297.09 × 7,106.09
  4. Step 4: Simplify right side
    11,083.37x = 108,702,498.28
  5. Step 5: Solve for x
    x = 108,702,498.28/11,083.37
  6. Step 6: Final answer
    x = 9,807.71

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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.