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Finding the Fourth Proportional to 11,575.95, 15,969.87 and 7,324.95

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Solution

The fourth proportional to 11,575.95, 15,969.87 and 7,324.95 is: 10,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.95 : 15,969.87 = 7,324.95 : x
  2. Step 2: Convert to fraction form
    11,575.95/15,969.87 = 7,324.95/x
  3. Step 3: Cross multiply
    11,575.95x = 15,969.87 × 7,324.95
  4. Step 4: Simplify right side
    11,575.95x = 116,978,499.26
  5. Step 5: Solve for x
    x = 116,978,499.26/11,575.95
  6. Step 6: Final answer
    x = 10,105.30

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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.