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Finding the Fourth Proportional to 7,564.37, 11,347.36 and 2,299.37

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Solution

The fourth proportional to 7,564.37, 11,347.36 and 2,299.37 is: 3,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.37 : 11,347.36 = 2,299.37 : x
  2. Step 2: Convert to fraction form
    7,564.37/11,347.36 = 2,299.37/x
  3. Step 3: Cross multiply
    7,564.37x = 11,347.36 × 2,299.37
  4. Step 4: Simplify right side
    7,564.37x = 26,091,716.68
  5. Step 5: Solve for x
    x = 26,091,716.68/7,564.37
  6. Step 6: Final answer
    x = 3,449.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.