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Finding the Fourth Proportional to 11,338.96, 15,647.96 and 6,623.44

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Solution

The fourth proportional to 11,338.96, 15,647.96 and 6,623.44 is: 9,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.96 : 15,647.96 = 6,623.44 : x
  2. Step 2: Convert to fraction form
    11,338.96/15,647.96 = 6,623.44/x
  3. Step 3: Cross multiply
    11,338.96x = 15,647.96 × 6,623.44
  4. Step 4: Simplify right side
    11,338.96x = 103,643,324.18
  5. Step 5: Solve for x
    x = 103,643,324.18/11,338.96
  6. Step 6: Final answer
    x = 9,140.46

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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.